Answer:
For a function y = f(x), the domain is the set of the possible values of x that we can input, while the range is the set of the possible outputs of the function.
In this case we gave y = f(x) = (1/3)^x
A) Domain
To see the domain we always start assuming that the domain is the set of all real numbers, and then see if there is a real number that causes any problem.
(for example if we had a denominator like "x - 2", the point x = 2 would cause problems because it would make the denominator equal to zero, and we can not divide by zero)
Particularly because x is the exponent, we do not have any problem here, so the domain is the set of all real numbers:
D: = R
B) Range.
To find the range we usually need to find the smallest value of the function.
Here we have:
y = (1/3)^x
Is really easy to see that as x increases, the denominator increases but the numerator remains the same, then as x increases, the value of y decreases.
For example for x = 100 we will have:
y = 1/3^100 ≈ 0
(you also can see that y will never be a negative value, and as x increases the value of y tends to zero)
then:
0 < y
And if we have x negative, like x = -3 for example.
y = (1/3)^-3 = (3/1)^3 = 3^3 = 27
So if x decreases (or increases in the negative value) then the value of y increases, so we do not have any upper limit.
Then the range is only defined by
0 < y.
We can write the rane as:
R: (0, ∞)
C) The y-intercept is the value of y when x= 0
y = (1/3)^0 = 1
(for any number different than zero N, we have that N^0 = 1)
the y-intercept is 1
D) The asymptote is a tendency to a given value, such that the function never does reach that value.
Here we have two asymptotes.
y tends to infinity as x tends to negative infinity.
y tends to zero as x tends to infinity.
Fred finishes one assignment in 3 hours. Assuming he works at a constant pace over several hours, write an equation that depicts the relationship between time in hours h and number of assignments finished f.
The equation that depicts the relationship between time in hours h and number of assignments finished f is f = 3h
How to write an equation?He finishes one assignment in 3 hours.
He does the assignment at a constant rate over several hours.
Therefore, the equation that depicts the relationship between time in hours h and number of assignments finished f is as follows:
where
h = time in hoursf = number of assignmentHence, the equation is :
f = 3h
learn more on equation here: https://brainly.com/question/10091688
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if 1 inch is = to 5 mile then what is the actual distance in 2.5 inches
Answer:
Step-by-step explanation:
1 in^2 = 5 mi * 5 mi = 25 mi^2
2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2
Adding and subtracting integers not a lot!!
Answer:
??
Step-by-step explanation:
Help me please. Stuck on y is [] times x.
Answer:
1 2/3
hope this helps :)
Step-by-step explanation:
Answer:
y=0.6x
Step-by-step explanation:
y=kx
k=y/x
k=9/15=18/30=27/45=36/60=0.6
The area of a circle is 121π cm squared. What is the circumference in terms of π?
Answer:
38 cm cubic
Step-by-step explanation:
C = 2√πA
C = 2√3,14 x 121
C = 2√379,94
C = 2 x 19,49204966133629
C = 38,98409932267258 = 38 cm cubic
hope this help !
(don't forgot to make this the best answer)
Please help I really need it
Answer: The answer is the Median(D)
Step-by-step explanation:
Answer:
Median
Step-by-step explanation:
What is the surface area of the cone? (Use 3.14 for π.)
339.12 cm ^2
715.92 cm ^2
307.72 cm ^2
417.62 cm ^2
Answer:
tambil anseeciot
Step-by-step explanation:
Math question 10 points!!!
The angles listed from largest to smallest are __________________
I WILL GIVE YOU THE BRAINLIEST!!!!!!!!!!
Answer:
B, A, C
Step-by-step explanation:
That's a 30-60-90 triangle.
SOMEONE PLEASEEEE HELPPPP?!!?!?!?!!?!?!??!
81 is divisible by?
1. 3
2. 4
3. 6
4. 8
Answer:
3 is the correct answer hope it helps
Solve for x, rounding to the nearest hundredth.
25 • 3^3x = 250
x= 10/27
Hope you have a great day
List the nurnbers in order from least to greatest. 1 -1,8,-18,-5,2,1 The numbers in order from least to greatest are
Choose one
Help me please
Answer:
A
Step-by-step explanation:
Smallest to Largest
Natural numbers
Whole numbers
Integers
Rational numbers
this is algebra please help
Answer:
1/8 and 1/16
Step-by-step explanation:
The negative exponent just means to right the negative inverse.
For example:
4^-2 means 4^2 but in a fraction
the answer would be 1/16
What is the standard form of (6,-3),(-2,-3)
Answer:
2x - 3y = 21
someone pls just comment something
Answer:
Eleventeen
Step-by-step explanation:
Answer:
THIRTEEN
Step-by-step explanation:
In August, Emily's Clothing Store sold 98 long sleeve shirts with the ratio of short sleeve to long sleeve being 3:7. How many short sleeves were sold?
Answer:
the number of short sleeves sold is 42
Step-by-step explanation:
The computation of the number of short sleeves sold is shown below:
Given that
The clothing store sold 98 long sleeve shirts
And, the ratio of short sleeve to long sleeve is 3:7
So, the number of short sleeves sold is
= 98 × 3 ÷ 7
= 42
Hence, the number of short sleeves sold is 42
The sum of the three interior angles of any triangle equal 180 degrees. One right triangle has one acute angle of 30 degrees.
Find the second acute angle.
Paragraph: Describe how to find the second acute angle.
Answer: right triangle is a triangle with one angle equal 90. That being said, the total of all angles = 180. 1 of them is 90 which makes the sum of the 2 acute angles = 90. One acute angle = 30 => the second one = 90 - 30 = 60 degree
Step-by-step explanation:
What is the range of ordered pairs represented on the graph?
Answer:
Step-by-step explanation:
1st. (4,6)
2nd. (-6,-2)
3rd. (8,4)
4th. (-4,-10)
Which of the following images show a rotation of 270 counter-clockwise?
Answer:
Image A
Step-by-step explanation:
help please . thank you
Find the median of the data. 12,33,18,28,29,12,17,4,2
Step-by-step explanation:
Answer:17
Step-by-step explanation: you’re welcome
A man who is X years old now has a son aged 5 years. In 7 years the father will be 4 times as old as his son will be then . How old is the father now
Answer:
48
Step-by-step explanation:
Answer:
41yrs old
Step-by-step explanation:
now. 7yrs later
F. S. F. S.
x 5. x+7. 5+7
F=(5+7)4
(5+7)4=x+7
20+28=x+7
48=x+7
x=48-7
x=41
so the father is 41yrs old
Meredith is playing games at the arcade to earn tickets that she can exchange for a prize. She has 278 tickets from a previous visit, and she earns 5 each game she plays. If Meredith needs 388 tickets to exchange for the prize, how many games does Meredith need to play?
Helpppppp plz I’ll give branliest
A bag contains colored marbles.
5 marbles are red.
3 marbles are green.
8 marbles are blue.
4 marbles are white.
A marble will be randomly selected from the bag. What is the probability that the marble selected will be blue?
A. 0.8
B. 0.5
C. 0.4
D. 0.2
What is the angle measurement of angle DBC?
Help please
What Dose 2+2 =
I've been stuck on this question for 7 years
/\ (Not Really to all the ❄)
Answer:
4
Step-by-step explanation:
took the test and got it right!
Solve the quadratic equation
3x²-5x-7=0
Answer:
Step-by-step explanation:
The coefficients of this quadratic equation are {3, -5, -7}. The discriminant (part of the quadratic formula) is b^2 - 4ac, which here is 25 - 4(3)(-7), or 109.
This positive discriminant indicates that there are two real, unequal roots.
They are:
5 ± √109
x = ------------------
6