AnswersCREDIT RE-SEAT MNPS Integrated Math III IC S1 26-27Comparing Exponential, Linear, and Quadratic Growth

Comparing Exponential, Linear, and Quadratic Growth Answers

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Complete the table for each function. Then answer the questions that follow.a= ⇒ 4 ; b = ⇒ 4; c = ⇒ 8; d = ⇒ 16; e = ⇒ 12; f = ⇒ 36; g = ⇒ 64

Answer:

64

2
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According to the table, which function grows the fastest? The linear functionThe quadratic function✔ The exponential function

A
The linear function
B
The quadratic function
C
✔ The exponential function
3

By what factor does the y-value change for y = 4x? 23✔ 45

A
2
B
3
C
✔ 4
D
5
4

Which function grows the slowest?

A
the linear function
B
the quadratic function
C
the exponential function
5

After what y-value does the exponential function appear to surpass the linear function?

Answer:

4

6

After approximately what y-value does the exponential function surpass the quadratic function?

Answer:

80

7

Which function grows the fastest? the linear functionthe quadratic function✔ the exponential function

A
the linear function
B
the quadratic function
C
✔ the exponential function
8

Consider the function y = 8x. How do the y-values of this function grow?

A
by adding 8
B
by multiplying the previous y-value by 8
C
by adding 8, then 16, then 32…
9

Consider the function y = 3x2. How do the y-values of this function grow?

A
by adding 3
B
by adding 9
C
by multiplying the previous y-value by 3
D
by adding 3, then 9, then 15, …
10

On equal intervals, the y-values of a quadratic function have a common difference ✔ second difference ratio

A
difference
B
✔ second difference
C
ratio
11

Compare the functions y = 2x2 and y = 2x. Which of the following statements are true? Check all that apply.

A
For any x-value, the y-value of the exponential function is always greater.
B
For any x-value, the y-value of the exponential function is always smaller.
C
For some x-values, the y-value of the exponential function is smaller.
D
For some x-values, the y-value of the exponential function is greater.
E
For any x-value greater than 7, the y-value of the exponential function is greater.
F
For equal intervals, the y-values of both functions have a common ratio.
12

Complete the table for each function. Then answer the questions that follow.a= ⇒ 4 ; b = ⇒ 4; c = ⇒ 8; d = ⇒ 16; e = ⇒ 12; f = ⇒ 36; g = ⇒ 64

Answer:

64

13

After what y-value does the exponential function appear to surpass the linear function?

Answer:

4

14

Question text not available

Answer not available
15

Question text not available

Answer not available
16

If Anita and Miguel do not take any money from their accounts, whose account will grow faster? Explain why.

Answer not available
17

On equal intervals, the y-values of a quadratic function have a common difference ✔ second difference ratio

A
difference
B
second difference
C
ratio
18

Compare the functions y = 2x2 and y = 2x. Which of the following statements are true? Check all that apply.

A
For any x-value, the y-value of the exponential function is always greater.
B
For any x-value, the y-value of the exponential function is always smaller.
C
For some x-values, the y-value of the exponential function is smaller.
D
For some x-values, the y-value of the exponential function is greater.
E
For any x-value greater than 7, the y-value of the exponential function is greater.
F
For equal intervals, the y-values of both functions have a common ratio.
19

Which function grows the slowest?✔ the linear functionthe quadratic functionthe exponential function

A
✔ the linear function
B
the quadratic function
C
the exponential function
20

Consider the function y = 15x. How do the y-values of this function grow?

A
by adding 15
B
by multiplying the previous y-value by 15
C
by adding 15, then 30, then 45…

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