Question 1

Which of the following points is located in Quadrant II of the rectangular coordinate system?

Accepted Answer

$$(-4, 5)$$

Question 2

Given the equation $$y = 2x - 3$$, which of the following ordered pairs is a solution to the equation?

Accepted Answer

$$(4, 5)$$

Question 3

What is the slope of the line passing through the points $$(-1, 2)$$ and $$(3, 10)$$?

Accepted Answer

$$m = 2$$

Question 4

Which of the following equations represents a line parallel to $$y = -rac{1}{2}x + 4$$ and passing through the point $$(2, -3)$$?

Accepted Answer

$$y = -rac{1}{2}x - 2$$

Question 5

Which of the following graphs represents a function?

Accepted Answer

A graph where each input has exactly one output

Question 6

Find the $$x-$$intercept of the line $$3x - 2y = 6.$$

Accepted Answer

$$(2, 0)$$

Question 7

What is the domain of the function $$f(x) = rac{1}{x-4}$$?

Accepted Answer

$$(-, 4) 
 (4, )$$

Question 8

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

Accepted Answer

$$9$$

Question 9

Which transformation occurs to the graph of $$f(x)$$ when you replace it with $$f(x-3)$$?

Accepted Answer

Shift right by 3 units

Question 10

If $$f(x) = x^2$ and g(x) = 2x$, what is the result of f(x) + g(x$$)$$?

Accepted Answer

$$x^2 + 2x$

Question 11

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

Accepted Answer

$$y = -rac{1}{3}x + 1$$

Question 12

What is the range of the function $$f(x) = rac{1}{x}$$?

Accepted Answer

$$(-, 0) 
 (0, )$$

Question 13

Given the function $$f(x) = x$$, which transformation will reflect it over the $$y-$$axis?

Accepted Answer

$$f(-x)$$

Question 14

Which of the following is the correct interval notation for the domain of $$f(x) = x$$?

Accepted Answer

$$(-, )$$

Question 15

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

Accepted Answer

$$(x+1)^2$$

Question 16

Which of the following describes the effect of multiplying a function $$f(x) by a $$constant $$a \u003e 1$$?

Accepted Answer

Vertical stretch

Question 17

Given the function $$f(x) = x$$, what is the range of $$f(x)$$?

Accepted Answer

$$[0, )$$

Question 18

Which of the following is the correct equation for a line in standard form passing through $$(0, 2)$$ with a slope of $$-3$$?

Accepted Answer

$$3x + y = 2$$

Question 19

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

Accepted Answer

$$x^2 - (x - 2$$)$$

Graphs and Functions: Precalculus Study Notes (Ch. 2)

Study Guide - Practice Questions