Evaluating Functions

Question 1

Which graph shows a function where f(2) = 4?

Revolt · Accepted Answer

A: [Image: On a coordinate plane, a curved line with an upwar...]

Question 2

Which value completes the table?

Revolt · Accepted Answer

D: 3

Question 3

Which statements are true of the given function? Check all that apply.

Revolt · Accepted Answer

C: f(1) = –1

Question 4

The function p(x) = –2(x – 9)2 + 100 is used to determine the profit on T-shirts sold for x dollars. What would the profit from sales be if the price of the T-shirts were $15 apiece?

Revolt · Accepted Answer

B: $28

Question 5

What is the inverse of f(x) = x + 2?

Revolt · Accepted Answer

D: h(x) = 3x - 6

Question 6

Explain how to use a graph of the function f(x) to find f(3).

Revolt · Accepted Answer

To evaluate a function for a specific input, substitute the given value for the variable in the function's rule or equation. Then, follow the order of operations to simplify the expression and determine the resulting output value.

Question 7

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.For all non-zero values of x, g(x) will always be greater than h(x).For all non-zero values of x, h(x) will always be greater than g(x).g(x) > h(x) for x = -1. g(x) < h(x) for x = 3. For positive values of x, g(x) > h(x). For negative values of x, g(x) > h(x).

Revolt · Accepted Answer

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Question 8

What did you include in your response? Check all that apply.

Revolt · Accepted Answer

To find f(3) from a graph, locate the number 3 on the x-axis. Move vertically from that point until you intersect the graph of the function. Then, move horizontally from that intersection point to the y-axis. The corresponding value on the y-axis is the output, or f(3).

Question 9

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.

Revolt · Accepted Answer

f(−1) =: 2; f(1) =: 6; f(2) =: 11

Question 10

Use the function f(x) = 2x3 - 3x2 + 7 to complete the exercises.

Revolt · Accepted Answer

A: ✔ 2

Evaluating Functions Answers

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