Question 1

Which of the following relations is a function?

Accepted Answer

The relation $$\{(2,5), (3,6), (4,7)\}$$

Question 2

What is the domain of the function $$f(x) = \sqrt{x-3}$$?

Accepted Answer

$$x \geq 3$$

Question 3

Given $$f(x) = 2x + 5$$, what is $$f(3)$$?

Accepted Answer

$$11$$

Question 4

Which equation is in slope-intercept form?

Accepted Answer

$$y = -4x + 7$$

Question 5

A line passes through the points $$(2, 5)$$ and $$(6, 13). $$What is the slope of the line?

Accepted Answer

$$2$$

Question 6

Which of the following is the standard form of a linear equation?

Accepted Answer

$$Ax + By = C$$

Question 7

If a line has the equation $$y = 3x - 2$$, what is the equation of a line parallel to it passing through $$(0, 5)$$?

Accepted Answer

$$y = 3x + 5$$

Question 8

Which of the following lines is perpendicular to $$y = -\frac{1}{2}x + 4$$?

Accepted Answer

$$y = 2x + 3$$

Question 9

What is the equation of the horizontal line passing through the point $$(4, -2)$$?

Accepted Answer

$$y = -2$$

Question 10

A company charges a flat fee of $$\50$ plus $$\$$20$$ per hour for consulting. Which function models the total cost $$C$$ for $$h$$ hours?

Accepted Answer

$$C(h) = 20h + 50$$

Question 11

Given $$f(x) = x^2$ - 4x + 7$$, what is the range of $$f(x)$$?

Accepted Answer

$$y \geq 3$$

Question 12

Which of the following is NOT a function?

Accepted Answer

$$x = y^2$

Question 13

If $$f(x) = 3x - 1$$ and $$g(x) = x^2$, what is f(g(2$$))$$?

Accepted Answer

$$11$$

Question 14

A vertical line passes through $$(3, -5). $$What is its equation?

Accepted Answer

$$x = 3$$

Question 15

Which of the following best describes the slope of a horizontal line?

Accepted Answer

Zero

Question 16

If $$y = 5x + 2 is $$rewritten in standard form, what is the equation?

Accepted Answer

$$-5x + y = 2$$

Question 17

Given the points $$(1, 2)$$ and $$(4, 8)$$, what is the equation of the line in point-slope form?

Accepted Answer

$$y - 2 = 2(x - 1)$$

Question 18

Which of the following is the correct function notation for 'y is a function of x'?

Accepted Answer

$$f(x)$$

Question 19

A car rental company charges $$\30$ per day plus a one-time fee of $$\$$25. $$Which equation represents the total cost $$C$$ for $$d$$ days?

Accepted Answer

$$C(d) = 30d + 25$$

Question 20

If two lines are perpendicular and one has a slope of $$\frac{3}{4}$$, what is the slope of the other?

Accepted Answer

$$-\frac{4}{3}$$

College Algebra Study Guide: Functions and Linear Functions (Sections 2.1, 2.3–2.4)

Study Guide - Practice Questions