Comparing Characteristics of Functions

Question 1

Which functions have a maximum value greater than the maximum of the function g(x) = –(x + 3)2 – 4? Check all that apply.f(x) = –(x + 1)2 – 2f(x) = –|x + 4| – 5 f(x) = –|2x| + 3

Revolt · Accepted Answer

A: f(x) = –(x + 1)2 – 2; C: ; D: f(x) = –|2x| + 3

Question 2

Which function has the smallest x-intercept value, if it exists?

Revolt · Accepted Answer

C:

Question 3

Which statements comparing the functions are true? Check all that apply.

Revolt · Accepted Answer

A: f(x) and h(x) have x-intercepts.; B: f(x), g(x), and h(x) have y-intercepts.; E: g(x) has the greatest maximum.

Question 4

Which function has the greatest y-intercept?

Revolt · Accepted Answer

B: Option B

Question 5

Three functions are shown in the table on the left. Complete the sentences comparing the three functions. has the greatest maximum. has the lowest minimum. has/have both x- and y-intercepts.

Revolt · Accepted Answer

C: h(x)

Question 6

Which function has the same minimum value as ?

Revolt · Accepted Answer

B: f(x) = |x| + 3

Question 7

Question 7

Revolt · Accepted Answer

C

Question 8

Which function has the greater slope and what does it represent?

Revolt · Accepted Answer

C: The bicycle function has the greater slope, which shows that the cost per hour is greater than that of the in-line skates.

Question 9

Compare the function given in the graph, f(x), with g(x) = |x| + 3. Which statements comparing the functions are true? Check all that apply.

Revolt · Accepted Answer

A: f(x) has two x-intercepts while g(x) has none.; C: The domain of each function is all real numbers.; E: f(x) has the smallest minimum.

Question 10

f(x)g(x)✔ h(x)

Revolt · Accepted Answer

C: h(x)

Comparing Characteristics of Functions Answers

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