Question 1

Which of the following equations represents a line passing through the point $$(2, 3)$$ with a slope of $$-4$$?

Accepted Answer

$$y = -4x + 11$$

Question 2

Given the function $$f(x) = 2x^2$ - 3x + 1$$, which of the following is the correct value of $$f(-2)$$?

Accepted Answer

$$f(-2) = 15$$

Question 3

Which of the following best describes the graph of $$y = |x - 2| + 3$$?

Accepted Answer

A V-shaped graph with vertex at $$(2, 3)$$

Question 4

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

Accepted Answer

$$(f \circ g)(2) = 11$$

Question 5

Which of the following statements is true about the function $$f(x) = x^3$?

Accepted Answer

The function is one-to-one and has an inverse.

Question 6

A line passes through the points $$(1, 2)$$ and $$(3, 8). $$What is the equation of the line in slope-intercept form?

Accepted Answer

$$y = 3x - 1$$

Question 7

Which of the following transformations will shift the graph of $$y = f(x) up by$$ $$4$$ units and to the right by $$2$$ units?

Accepted Answer

$$y = f(x - 2) + 4$$

Question 8

Given $$f(x) = x^2$ and g(x) = x + 1$, what is the domain of (f + g)(x$$)$$?

Accepted Answer

All real numbers

Question 9

Which of the following is the average rate of change of $$f(x) = x^2$ from x = 1$ to x = 4$?

Accepted Answer

$$5$$

Question 10

If $$f(x) = 2x - 5$$, what is the inverse function $$f^{-1}(x$$)$$?

Accepted Answer

$$f^{-1}(x$$) = \frac{x + 5}{2}$$

Question 11

Which of the following is NOT a function?

Accepted Answer

A relation where one $$x-$$value is paired with two different $$y-$$values.

Question 12

Which of the following best describes the vertical line test?

Accepted Answer

A method to determine if a graph represents a function.

Question 13

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

Accepted Answer

$$(f - g)(3) = 2$$

Question 14

Which of the following is the equation of a line parallel to $$y = 2x + 3$$ and passing through $$(0, -1)$$?

Accepted Answer

$$y = 2x - 1$$

Question 15

Given $$f(x) = x^2$ and g(x) = x + 2$, what is (f$$ \circ g)(x)$$?

Accepted Answer

$$(f \circ g)(x) = (x + 2)^2$

Question 16

Which of the following is the correct equation for the line perpendicular to $$y = -\frac{1}{2}x + 4$$ and passing through $$(2, 1)$$?

Accepted Answer

$$y = 2x - 3$$

Question 17

If $$f(x) = \sqrt{x - 1}$$, what is the domain of $$f(x)$$?

Accepted Answer

$$x \geq 1$$

Question 18

Which of the following is the result of reflecting the graph of $$y = x^2$ over the x$-axis?

Accepted Answer

$$y = -x^2$

Question 19

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

Accepted Answer

$$(f + g)(x) = 3x - 2$$

Question 20

Which of the following is the correct average rate of change of $$f(x) = 3x + 2$$ from $$x = 0 to$$ $$x = 5$$?

Accepted Answer

$$3$$

Chapter 1: Functions and Graphs – Study Guide and Review Objectives

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