1. Match the polynomial with its end behavior.
A. f(x) = -2x + 3
B. f(x) = x2 - 6x + 3
1. As x gets larger and larger in either
the positive or negative direction,
f(x) gets larger and larger in the
positive direction.
C. f(x) = 1 – x2 + 2x3
D.f(x) = 7 - x4
DE
2. As x gets larger and larger in the
positive direction, f(x) gets larger
and larger in the positive direction.
As x gets larger and larger in the
negative direction, f(x) gets larger
and larger in the negative direction.
3. As x gets larger and larger in the
positive direction, f(x) gets larger
and larger in the negative (help please)direction.
As x gets larger and larger in the
negative direction, f(x) gets larger
and larger in the positive direction.
4. As x gets larger and larger in either
the positive or negative direction,
f(x) gets larger and larger in the
negative direction.
Answers
Using infinity limits, the matching pairs are:
A - 3.B - 1.C - 2.D - 4.The end behavior of a function f(x) is given by:
[tex]\lim_{x \rightarrow \infty} f(x)[/tex]
Function A:
[tex]f(x) = -2x + 3[/tex]
[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} -2x + 3 = \lim_{x \rightarrow -\infty} -2x = -2(-\infty) = \infty[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} -2x + 3 = \lim_{x \rightarrow \infty} -2x = -2(\infty) = -\infty[/tex]
Thus, matches with item 3.
Function B:
[tex]f(x) = x^2 - 6x + 3[/tex]
[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} x^2 - 6x + 3 = \lim_{x \rightarrow -\infty} x^2 = (-\infty)^2 = \infty[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} x^2 - 6x + 3 = \lim_{x \rightarrow \infty} x^2 = (\infty)^2 = \infty[/tex]
Thus, matches with item 1.
Function C:
[tex]f(x) = 1 - x^2 + 2x^3[/tex]
[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 1 - x^2 + 2x^3 = \lim_{x \rightarrow -\infty} 2x^3 = 2(-\infty)^3 = -\infty[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} 1 - x^2 + 2x^3 = \lim_{x \rightarrow \infty} 2x^3 = 2(\infty)^3 = \infty[/tex]
Thus, matches with item 2.
Function D:
[tex]f(x) = 7 - x^4[/tex]
[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 7 - x^4 = \lim_{x \rightarrow -\infty} -x^4 = -(-\infty)^4 = -\infty[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} 7 - x^4 = \lim_{x \rightarrow \infty} -x^4 = -(\infty)^4 = -\infty[/tex]
Thus, matches with item 4.
A similar problem is given at https://brainly.com/question/24248193
Related Questions
3/4 + x = 2x — x + ?
Answers
Answer:
3/4
Step-by-step explanation:
please mark me as brainlest
A train left isiolo on Friday at 11:45 pm.it took 8 hrs 55 mins to reach Nairobi. When did the train reach Nairobi? A . Saturday 8:40pm B.saturday 8:00pm C. Friday 8; 40pm. D. Saturday 840am
Answers
Answer:
D.Saturday 8:40am
Step-by-step explanation:
11+8=19 (7)
45+55=100
one hour(100) makes 60 minutes
100-60=40
Therefore the answer is Saturday 8:40am
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Answers
Answer:
4 3/8
Step-by-step explanation:
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Answer:
C or the third one
Step-by-step explanation:
Which of the following shows the translation of K(3, 2) two units down?
Answers
What is the value of the expression 3a+b2 when a=14 and b=32 ?
−38
98
92
I don't know.
Answers
Answer:
106
Explanation:
3a+b2
Substitute the values for the variables:
3(14) + 2(32)
Solve:
3(14) + 2(32)
42 + 64
106
9/8 trust me +_+ X_X C_C V_V N_N
AB=4cm BC =5cm CD =8cm .Calculate the area of rectangle BCDE
Answers
Step-by-step explanation:
1.2
area of triangle = ½ × base × height
so,
height = 5cm
base = 4cm
now,
→ 1/2 × 4 × 5
→ 2 × 5 = 10 cm²
therefore, area of the ∆AED is 10cm².
1.3
area of rectangle = l × b
length = 8cm
breadth/width = 5cm
now,
area of BCDE
→ 8 × 5 = 40 cm²
now,
area of,
→ ABCD = BCDE - ∆AED
→ ABCD = 40 - 10 = 30
therefore, required area of ABCD is 30cm².
hope this answer helps you dear...take care and may u have a great day ahead!
The larger of two numbers is 5 more than the smaller. The smaller number plus the larger equals 100. Find the number.
Answers
Answer:
Smaller number-47.5
Larger number-52.5
Step-by-step explanation:
We will make the smaller number x. If the smaller number is x, then the larger number will be equal to x+5. We also know that when we add the two numbers, we get 100. We can make the equation
x+x+5=100
100-5=95
2x=95
95/2=47.5
x=47.5
The smaller number equals 47.5 and the larger number is 47.5+5 which equals 52.5
Help me I’ll give you five stars
Answers
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
Note the bar above 1 means 1 is repeating , that is
0.111..
We require 2 equations with the repeating digit placed after the decimal point
let x = 0.111.... (1) Multiply both sides by 10
10x = 1.111... (2)
Subtract (1) from (2) thus eliminating the repeating digit
9x = 1 ( divide both sides by 9 )
x = [tex]\frac{1}{9}[/tex]
Answer:
that was the great answer its 1/10
what is 999999999/900
Answers
Answer:
1111111.11 is the answer.....
Yani buys 4 dozen flyers for $7.25. What is the cost for 12 dozen
Answers
4x3=12
7.25x3=$21.75
The volume of a cube of ice for an ice sculpture is 64000
Answers
no question to answer
Step-by-step explanation:
Triangle abc is an isosceles triangle in which angle b = angle c and l and m are points on ab and ac respectively such that lm parallel to bc. If angle a = 50 degree find angle lmc
Answers
Answer:
∵ ABC is an isosceles triangle
∵ m∠b = m∠c
∴ m∠b and m∠c = 180 - m∠a/2
= 180 - 50/2
= 130 /2
= 65°
∵ ∠c and ∠AMI are corresponding angles
∵ m∠AMl = m∠c = 65° (1)
From (1)
∵ ∠AMC is striaght angle
∴ m∠IMC = 180 - m∠AMI
m∠IMC = 180 - 65
m∠IMC = 115°
Answer = 115°
Figure of your question in the attachment
pls pls pls pls help meeeeeeee
Answers
Answer:
$8553.87
Step-by-step explanation:
Formula = Initial amount x (1+(%/100) squared by (t) years or time.
7600 x 1.03^4 =8553.86696 = $8553.87 nearest penny rounded up.
To reverse such amount if given percentage (%) time (t) and (nv) new value to question. We realise it has asked the opposite in asking to find the initial investment it may say what Did Dan initially or originally invest? we would divide new amount by (1+) (%/100)^(t) and percentage and show like this;
8553.87 / 1.03^4= 7600.0027 = $7200 for initial investment.
However the question asks for total new value of investment after 4 years.
So the first formula is shown and shows answer to be $8553.87
The sum of 3 consecutive numbers is 41 less than five times the largest number. Find the largest number
Answers
Emily has a piggy bank that contains 30 coins in dimes and nickels. Their combined value is $2.10. How many coins of each kind are there?
Answers
Answer:
Step-by-step explanation:
Though we can divide this second equation by five and combine, let's multiply the first equation by five and subtract it from the second...
10d + 5n = 210
-(5d + 5n = 150)
and we get
5d = 60
d = 12 dimes
n = 30-12 = 18 nickels
Solve the inequality 2 (m+3) +1 > 23
Answers
Answer:
m>8
Step-by-step explanation:
The first step will be to distribute the 2, so that the equation becomes 2m + 6 + 1 > 23.
From here we should combine like terms, which just means adding 6 and 1, so that the equation is now 2m+7>23. Now, we just subtract 7 on both sides, which brings leave us with 2m > 16.
Lastly dividing by 2 on both sides, the answer is m>8
2x^3-3x^2+kx-1 is divided (x-1),the remainder is 2 find k
Answers
Answer:
k = 4
Step-by-step explanation:
if f(x) is divided by (x - h) then f(h) is the remainder
f(x) = 2x³ - 3x² + kx - 1
divided by (x - 1) , so h = 1 , then
2(1)³ - 3(1)² + k(1) - 1 = 2
2 - 3 + k - 1 = 2
- 2 + k = 2 ( add 2 to both sides )
k = 4
Joseph traveled from Boston to Framingham at 50 mph and then back to Boston at 40 mph, What was Joseph average speed on the round trip? (its not 45mph just to let you know)
Answers
Answer:
44.44 mph
Step-by-step explanation:
Since we are given 50 from the start, and 40 at the end, we will add 50 and 40.
50 + 40 = 90
Then, Divide the result by 2.
90 ÷ 2 = 45
Here is the tricky part: we are not done!
Don't be mistaken by the question. Some people may think the answer is 45mph because that is what it is rounded up, however, the question did not ask for the answer rounded up.
This is a round trip, so reduce this to the nearest value in both tenths and units. Hence, it would be 44.44.
a school, a library, and a store are on the same straight read. The school is located 12 miles from the store. The library is located between the school and the store and is 7.4 miles from the store. What is the distance in miles between the school and the library?
Answers
Answer:
4.6 miles
Step-by-step explanation:
Subtract the distance of the library to the store from the store to the school.
12-7.4=4.6
What is (0,5) and (2,14) in slope intercept form
Answers
Answer:
y = 9/2x + 5
Step-by-step explanation:
ok first find the slope with equation (x2 - x1 over y2 - y1)
14 - 5 = 9/
2 - 0 2
so 9/2 is your slope so now pick one of the points (let's do 0, 5) and plug that into the slope intercept form (y = mx+b)
5 = 9/2(0)+b
9/2 • 0 = 0 so b = 5
so the answer is y = 9/2x + 5. hope this helps!
Graph the line that passes through the two points.(1, 5/2), (−1/2,−1/4)
Answers
Answer:
To find the slope of a line, simply use the slope formula [(y2-y2)/(x2-x1)].
To find the y-intercept, simply plug in point values to solve for b.
The line that passes through the two points (1, 5/2) and (-1/2,-1/4) is y=1.8x+0.7.
The given coordinate points are (1, 5/2) and (-1/2,-1/4).
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
Substitute (x1, y1)=(1, 5/2)=(1, 2.5) and (x2, y2)=(-1/2, -1/4)=(-0.5, -0.25) in slope formula, we get
Slope =(-0.25-2.5)/(-0.5-1)
= -2.75/(-1.5)
= 1.8
Put m=1.8 and (x, y)=(1, 2.5) in y=mx+c, we get
2.5=1.8×1+c
c=0.7
So, equation is y=1.8x+0.7
Hence, the line that passes through the two points (1, 5/2) and (-1/2,-1/4) is y=1.8x+0.7.
To learn more about the slope of a line visit:
https://brainly.com/question/14511992.
#SPJ2
Use the distributive property to solve 2x4(x-3)=-5+2x+9 i just cant understand the first few steps so if you could explain that please and thank you
Answers
Given the relation {(2, 3), (-2, 2), (1, 5), (0, -1)}, state the range!
A. {-1, 2, 3, 5}
B. {-2, 2, 0, 1}
C. {-2, 2, 5}
D. {-2, -1, 0, 1}
Answers
Determine the domain and range of the given function:
y = –x4 + 4
This is just a garden-variety polynomial. There are no denominators (so no division-by-zero problems) and no radicals (so no square-root-of-a-negative problems). There are no problems with a polynomial. There are no values that I can't plug in for x. When I have a polynomial, the answer for the domain is always:
the domain is "all x".
The range will vary from polynomial to polynomial, and they probably won't even ask, but when they do, I look at the picture:
graph
The graph goes only as high as y = 4, but it will go as low as I like. Then:
The range is "all y ≤ 4".
how does the number line below represent the product of a positive number and a negative number? drag words and numbers to explain. each tile may be used once, more than once, or not at all
Answers
Answer: -1.5, negative, negative
Step-by-step explanation:
The first box: -1.5
The second box: negative
The third box: negative
The graph of which inequality has its vertex at (2 1/2, 5)?
The correct answer to this is y>|2x-5|+5.
My question is where did the 2 1/2 come from in the vertex?
Answers
Answer:
77777
Step-by-step explanation:
In this case, the vertex is the lowest point of the V shaped curve.
The goal is to get the stuff inside the absolute value (the 2x-5) to be as small as possible, so we can get to the lowest point. In terms of absolute value, we want the 2x-5 to be equal to 0
This allows us to set up the equation below and solve for x.
2x-5 = 0
2x = 5
x = 5/2
x = (4+1)/2
x = 4/2 + 1/2
x = 2 + 1/2
x = 2 & 1/2
Let me know if this clears things up or not.
Fine the volume of the prism 5m 3m 3m
Answers
Answer:
45
Step-by-step explanation:
To find the volume of an object, we just have to multiply all of the side lengths together.
[tex]5*3*3=45[/tex]
[tex]V=45[/tex]
5 (3) 3 m (m) m = m cubed
15 (3)
45
45m³MARKING BRAINLEIST IF YOUR ANSWER IS RIGHT!!
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1/10y
HI, I NEED HELP WITH MATH KNOW ANY TUTORS?
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Answer:
no but I may be able to help with the problem make a question with the problem and a bunch of people will help and 8 times out of ten they will go e an explanation
Just h-h-helllllllllllllllllppppp meeeeeeeeeeeeee oooo ba bea
Answers
Answer: True, False, False, True, False
Step-by-step explanation: Fractions are easy.
What is the equation of the line that passes through (0,5) and (3,8)?
A. y= 1x + 5
B. y=-1x - 5
C. y=-1x + 5
D. y = 1x - 5
Answers
Answer:
A. y= 1x + 5
Step-by-step explanation:
Answer:
A. y=x+5
Step-by-step explanation:
(0,5):
x=0
y=(0)+5=5
(3,8):
x=3
y=(3)+5=8
I hope this help you