Which of the following functions have a domain of ( -infinity, infinity) and a range of
(-2, infinity)?
Check all that apply.
A. f(x) = 0.25^x- 2
B. f(x) = 0.25^x+2
c. f(x) = 3^x – 2
D. f(x) = 3^x +2

Answers

Answer 1

Answer:

It would be answers A and C

Step-by-step explanation:

Notice both end in negative 2, matching your range, so you can't get that correct using either B or D

Answer 2

The functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].

What is function?

A function is relationship between two or more variables expressed in equal to form .In a function each value of x must have a corresponding y value. The value of x is known as domain of the function and the value of y is known as range of function.

How to find function?

We have been given four functions and we have to find the functions having domain (-∞,∞) and range (-2,∞).

Taking f(x)=[tex]0.25^{x}-2[/tex]

f(0)=1-2

=-1

f(1)=0.25-2

=-1.75

f(2)=0.50-2

=-1.50

f(-2)=1/0.50-2

=1-1/0.50

=0

So this function has domain (-∞,∞) and range (-2,∞) because the value of function increases from -2 as the value of x increases.

Taking f(x)=[tex]0.25^{x}+2[/tex]

Because the above function is opposite of the first function so it behaves opposite as the function.

Taking f(x)=[tex]3^{x} -2[/tex]

f(0)=1-2

=-1

f(1)=3-2

=1

f(-2)=1/9-2

=(1-18)/9

=-17/9

=-1.8

This function also has domain (-∞,∞) and range  (-2,∞) because the value of increases from -2 as the value of x increases.

Next function is opposite from the third function so it behaves opposite to third function

Hence the functions having domain (-∞,∞) and range (-2,∞) are f(x)=[tex]0.25^{x}-2[/tex] and f(x)=[tex]3^{x}-2[/tex].

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Related Questions

4.8 Retake
nts
Question 4 of 12
A line on a coordinate plane has a y-intercept of -6 and a slope of 4. Which of the following models the slope - intercept form of the line?
А
y= 4x + 6
B
y=6x +4
bok
y=-6x +4
y= 4x - 6

Answers

Answer:

y = 4x - 6

Step-by-step explanation:

Given the following data;

Slope, m = 4

Intercept, c = -6

To write the equation of line in the slope-intercept form;

The standard equation of straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the values, we have;

y = 4x + (-6)

y = 4x - 6

3.2 + (-1.8) What would that be

Answers

Answer:

1.4

Step-by-step explanation:

Which expression is equivalent to "28 divided by the difference 45 and 710"

Answers

23.75 you have to subtract 45 and 710 and dived it by 28

1. Find the derivative of f(x), at x = 10
f(x) = - 5x² + 13x

Answers

Answer:

-10x+13

Step-by-step explanation:

Im not 100% sure but i tried!

Please Help me solve these problems.

Answers

Which question? The picture is black

What is the volume of the container?

Answers

The answer for this question is 1468

Solve this please. Tell me an accurate answer for this word problem?

Answers

Answer:

81.8 kg

Step-by-step explanation:

Answer:

81.8

Step-by-step explanation:

Decimals work just like basic addition.

Line it up at the decimal point.

  46.2

+ 35.6

_______

81.8

Joe's final exam has true/false questions, worth 2 points each, and multiple choice questions, worth 5 points each. Let x be the number of true/false
he gets correct, and let y be the number of multiple choice questions he gets correct.
He needs more than 90 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.

Answers

This is the inequality

2x + 5y ≥ 90

use the graph of the function f shown to determine f(-3)

Answers

I need help with this please graphing is too complicated. If anyone can help I would be very happ.

write the properties of absolute value:​

Answers

Answer:

hope this help you. look it once.

ILL MARK BRAINLIEST OF CORRECT AND GIVE 25 POINTS
This figure was broken into a triangle and a parallelogram as shown.

Use the figures to complete the statements.

The height of the triangle h is
in. 10 12 22
The area of the triangle is
in.2.40 48 80 96
The area of the parallelogram is
in.2 40 48 80 96.
The area of the irregular figure is
in.2. 88 128 144 176

Answers

Step-by-step explanation:

The height of the triangle H is 12

The area of the triangle is 48

The area of the parallelogram is 80

The area of the irregular figure is 128

I think

:)

Find x so the distance between (x,−1) and (4x−2,5) is 10

Answers

Answer:

[tex] x = \dfrac{10}{3}~~or~~x = -2 [/tex]

Step-by-step explanation:

(x,−1) and (4x−2,5) is 10

[tex] \sqrt{(4x - 2 - x)^2 + (-1 - 5)^2} = 10 [/tex]

[tex] (3x - 2)^2 + (-6)^2 = 100 [/tex]

[tex] 9x^2 - 12x + 4 + 36 = 100 [/tex]

[tex] 9x^2 - 12x + 40 = 100 [/tex]

[tex] 9x^2 - 12x - 60 = 0 [/tex]

[tex] 3x^2 - 4x - 20 = 0 [/tex]

[tex] 3x^2 - 10x + 6x - 20 = 0 [/tex]

[tex] x(3x - 10) + 2(3x - 10) = 0 [/tex]

[tex] (3x - 10)(x + 2) = 0 [/tex]

[tex] x = \dfrac{10}{3}~~or~~x = -2 [/tex]

The two cylinders below are similar. What is the length of the radius of the larger cylinder? A. 15 O B. 5 O . 12 D. 6

Answers

9514 1404 393

Answer:

  D.  6

Step-by-step explanation:

The height of the larger cylinder is 15/5 = 3 times the height of the smaller one. Because the cylinders are similar, you know that the radius of the larger one will have the same multiplier of the radius of the smaller one.

The larger radius is 3 × 2 = 6.

Solve this equation: 8(3x - 6) = 6(4x + 8)

A- Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has a unique solution.

B- Solving this equation results in the statement 48 = 48. Because this is a true statement, the equation has infinitely many solutions.

C- Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.

D- Solving this equation results in the statement 48 = 48. Because this is a true statement, the equation has a unique solution.

Please help this is for today

Answers

Answer:

C. Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.

Step-by-step explanation:

8(3x - 6) = 6(4x + 8)

24x - 48 = 24x + 48

minus 24x from both sides and you get -48 = 48

A false statement means one side does not equal the other. False statement always means no solution

you can solve this equation for x, but looking at the answers it's not what the question is asking for

Change the numbers 5 and 9 in the equation so that the graph intersects the x-intercepts on the graph. (1,0) (4,0) y= (x - 5)(x-9) ​

Answers

Answer:

y=(x-4)(x-1)

Step-by-step explanation:

We need y to be 0 and x must equal 4 and 1

The only way to make y=0

is to swap 9 and 5 for -4 and -1

IF YOU GIVE RIGHT ANSWER=BRAINLIEST GUYS PLZZZ HELP!!! LINKS WILL BE REPORTED!!!

Answers

Answer:

5 cm

Step-by-step explanation:

Volume of a cylinder = π*radius^2*height

675π = π * radius^2 * 27

radius^2 = 25

radius = 5 cm

Answer:

Step-by-step explanation:

V=pi x r^2 x h

r^2 = 675pi / (pi x 27) = 25

r = 5

What fraction of her team's total points did Cynthia score?

Answers

Answer: 5/6

Step-by-step explanation:

because if you get velocity and multiply it by the term which is 5/12 you half the denominator.

Please help
Thankssssss

Answers

Answer:

-10x

Step-by-step explanation:

multiply -5 with 2x

-5×2x= -10x

Answer:

Basically, you have to multiply the term at the top with the one on the left of the corresponding box. In this case you have to multiply -5 with 2x.

[tex]-5\cdot \:2x=-10x[/tex]

The town of Riverside is holding an election for mayor. Only 200
residents have voted so far and the results are shown in the table. Based on these results, what is the most reasonable prediction of the number of votes that Mr. Tonn will receive when 400 votes have been counted?

Answers

Answer:

C. 116

Step-by-step explanation:

Whats the answer to this


Answers

Answer:

the answer is 16x2 - 16

Step-by-step explanation:

:)))

16x^2 -16 I think...

Carl is buying a couch for $650
with a sales tax rate of 7.5%. How
much will Carl spend on sales tax?

Answers

Answer:

All you have to do is find out what 7.5 percent of 650 is.

Step-by-step explanation:

The answer would be 48.75 in sales taxes

48.75 in sales tax! tell me if im right or wrong lols

how many times can 8 go into 87

Answers

Answer:

10 times

Step-by-step explanation:

If you are talking about division, then we would do 87/8=10

Answer:

It can go 10.875  times.

Step-by-step explanation:

87/8 = 10.875

≈ 11

Hope this helps; have a great day!

6 A train has 1 first-class carriage and 6 standard carriages. The first-class carriage has 64 seats. are being used. Each standard carriage has 78 seats. in each carriage are being used. Are more than half the seats on the train being used?

Answers

Answer:

YES

Step-by-step explanation:

(3/8)·64 = 24 seats in the first class carriage are being used.

(7/13)·(78)·3 = 126 seats in the standard carriages are being used, for a total of ...

 24 + 126 = 150 . . . occupied seats

The number of available seats is ...

 64 +3·78 = 298

so half the seats on the train will be 298/2 = 149 seats.

 150 > 149, so more than half the seats on the train are being used.

A study assessed the effects of playing a computer game (solitaire) during lunch on behavioral and physiological variables. A sample of 44 healthy adults was randomly assigned to eat lunch either with the computer game distraction or without distraction. The food served for lunch was exactly the same for everyone. All participants also had the same breakfast. Thirty minutes after lunch, participants were offered cookies as a snack and were instructed to eat as many or as few cookies as they liked. Here are the summary statistics for the findings:25
Group n X Distraction 22 52.1 45.1 No distraction 22 27.1 26.4
(a) Do the findings support the hypothesis of greater snack the two-sample t statistic and P-value, and conclude
(b) Can you conclude that distraction during meals causes intake after meals taken with a distraction? State hypotheses in terms of the two population means, obtain using a significance level of 0.05 the greater snack intake? Explain your reasoning.

Answers

Answer:

H0 : μD = μN

H0 : μD > μN

Test statistic = 2.192

Pvalue = 0.017

there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.

Step-by-step explanation:

Given the data:

n1 = 22 ; x1 = 52.1 ; s1 = 45.1

n2 = 22 ; x2 = 27.1 ; s2 = 26.4

H0 : μD = μN

H0 : μD > μN

The test statistic :

(x1 - x2) ÷ (Sp*√(1/n1 + 1/n2))

Sp = (n1 - 1)s1² + (n2 - 1)s2²] ÷ (n1 + n2 - 2)

Sp = √[((21 * 45.1^2) + (21 * 26.4^2)) ÷ 42]

Sp = 36.952469

Test statistic :

(52.1 - 27.1) ÷ Sp * √(1/21 + 1/21))

25 ÷ (36.952469 * 0.3086066)

25 ÷ 11.4037758196954

Test statistic = 2.192

Using the Pvalue from Test statistic calculator :df = 42, Tscore = 2.192

Pvalue = 0.017

α = 0.05

Pvalue < α

Hence, there is strong evidence that healthy adult eat more cookies for a snack when they are distracted with a computer game during lunch than when they are not.

Use the method of cylidrincal shells to find the volume of the solid generated by rotating the region bounded by the curves y=6x-2x^2 and y=x^2 about the y axis.

Answers

Find where the two curves intersect:

y = 6x - 2x ²

y = x ²

6x - 2x ² = x ²   →   3x ² - 6x = 3x (x - 2) = 0   →   x = 0 and x = 2

Now, for a shell of radius x units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ x ≤ 2, we have 6x - x ² ≥ x ², so the height of any given shell is (6x - x ²) - x ² = 6x - 2x ².

Then volume of the solid is

[tex]\displaystyle 2\pi \int_0^2 x(6x-2x^2)\,\mathrm dx = 2\pi \left(2x^3-\frac{x^4}2\right)\bigg|_0^2 = \boxed{16\pi}[/tex]

Can anyone help me out here?

Answers

Answer:

J. 19.7

Step-by-step explanation:

SOH(sine = opposite side/hypotenuse) CAH TOA

sin 80° = RS/20

=> 0.985 = RS/20

=> RS = 20 × 0.985 = 19.7

If a person is on a 1,800-calorie diet, then how many of their calories will come from fruit?

Veggies 35%

Fruit 15%

Carbs 25%

Protein 25%​

Answers

Answer:

270

Step-by-step explanation:

Convert 15% into a decimal: .15

Then multiply 1800* 0.15

This gives you 270

Answer:

270

Step-by-step explanation:

can someone tell me what is 2+2​

Answers

Answer:

i think its four..not sure though <3

Step-by-step explanation:

you take two fingers and take another set of two fingers and mash them together making 4 fingers!!!!

I honestly don't know at this point.

Which of these statements is true about heat? A. Heat always flows from cooler to warmer substances. B. Heat doesn’t flow between substances. C. Heat always flows from warmer to cooler substances. D. Heat flows when both substances have the same temperature.

Answers

Answer:

C. Heat always flow from warmer to cooler substances.

Explain how this diagram shows
That 6(3 + 4) = 6(3) + 6(4)

Answers

Answer:

[tex]{\huge\blue{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex]6(3 + 4) = 6(3) + 6(4) \\ 6(7) = 6(3) + 6(4) \\ 6 \times 7 = 6 \times 3 + 6 \times 4 \\ 42 = 18 + 24 \\ 42 = 42[/tex]

→ LHS = RHS

•°• Hence proved.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

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