$$C(500) = 0.1148 \times 500 + 20$$

Question 1

Which of the following functions is symmetric with respect to the origin?

Accepted Answer

$$f(x) = \sqrt[3]{x}$$

Question 2

What is the domain of the square root function $$f(x) = \sqrt{x}$$?

Accepted Answer

$$[0, \infty)$$

Question 3

Which function has an absolute minimum at $$x = 0$$?

Accepted Answer

$$f(x) = |x|$$

Question 4

A piecewise-defined function is given by $$f(x) = \begin{cases} x + 2, & -4 \leq x  2 \end{cases}. $$What is the domain of $$f$$?

Accepted Answer

$$[-4, \infty)$$

Question 5

For the function $$f(x) = \sqrt[3]{x}$$, which statement is true?

Accepted Answer

The function is odd.

Question 6

Which function is increasing on its entire domain?

Accepted Answer

$$f(x) = \sqrt[3]{x}$$

Question 7

Given the piecewise function $$f(x) = \begin{cases} 2x + 1, & x \u003c 1 \ -2x + 1, & x \geq 1 \end{cases}$$, what is the range of $$f$$?

Accepted Answer

$$(-\infty, 1]$$

Question 8

Which of the following is the correct model for the monthly electricity charge $$C(x)$$ for $$x$$ kWh, where $$x \u003e 700$$?

Accepted Answer

$$C(x) = 0.1160x + 19.16$$

Question 9

Which function is neither even nor odd?

Accepted Answer

$$f(x) = \sqrt{x}$$

Question 10

For the greatest integer function $$f(x) = 	ext{int}(x)$$, what is $$f(2.7)$$?

Accepted Answer

$$2$$

Question 11

Which function has a graph that is symmetric with respect to the y-axis?

Accepted Answer

$$f(x) = |x|$$

Question 12

If $$f(x) = x^2$ - 4$$ for $$x \u003e 2$$, what is the x-intercept of this piece of the function?

Accepted Answer

No x-intercept for $$x \u003e 2$$

Question 13

Which function has a range of $$\{y | y \geq 0\}$$?

Accepted Answer

$$f(x) = |x|$$

Question 14

For the function $$f(x) = \frac{1}{x}$$, what is the domain?

Accepted Answer

$$\{x | x 
eq 0\}$$

Question 15

Which function is constant for all real numbers?

Accepted Answer

$$f(x) = b$$

Question 16

If $$f(x) = |x|$$, which interval is the function decreasing?

Accepted Answer

$$(-\infty, 0]$$

Question 17

For the electricity cost function $$C(x)$$, what is the charge for 500 kWh?

Accepted Answer

$$C(500) = 0.1148 	imes 500 + 20$$

Question 18

Which function does NOT have any local minima or maxima?

Accepted Answer

$$f(x) = \sqrt[3]{x}$$

Question 19

For the piecewise function $$f(x) = \begin{cases} x + 2, & -4 \leq x  2 \end{cases}$$, what is $$f(3)$$?

Accepted Answer

$$5$$

Question 20

Which function is defined as the greatest integer less than or equal to $$x$$?

Accepted Answer

$$f(x) = 	ext{int}(x)$$

Library of Functions and Piecewise-defined Functions

Study Guide - Practice Questions