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 $$2x + y = 7$$, which of the following ordered pairs is a solution?

Accepted Answer

$$(2, 3)$$

Question 3

What is the slope of the line passing through the points $$(-1, 2)$$ and $$(3, -6)$$?

Accepted Answer

$$-2$$

Question 4

Which equation represents a line with an undefined slope?

Accepted Answer

$$x = -2$$

Question 5

If a line has the equation $$y = -\frac{1}{2}x + 3$$, what is its $$y-$$intercept?

Accepted Answer

$$(0, 3)$$

Question 6

Which of the following relations is a function?

Accepted Answer

$$\{(0,1), (1,2), (2,3)\}$$

Question 7

What is the domain of the function $$f(x) = \sqrt{x-2}$$?

Accepted Answer

$$[2, \infty)$$

Question 8

Which transformation describes $$g(x) = f(x-3) + 2$$ compared to $$f(x)$$?

Accepted Answer

Shift right 3 units, up 2 units

Question 9

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

Accepted Answer

$$f(g(2)) = f(3) = 9$$

Question 10

Which of the following best describes the graph of $$y = |x|$$?

Accepted Answer

A V-shaped graph opening upwards

Question 11

If $$f(x) = x^2$ and g(x) = 2x$, what is the domain of $$\frac{f(x)}{g(x)}$$?

Accepted Answer

$$(-\infty, 0) \cup (0, \infty)$$

Question 12

Which of the following lines is perpendicular to $$y = 2x + 1$$?

Accepted Answer

$$y = -\frac{1}{2}x + 3$$

Question 13

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

Accepted Answer

$$[0, \infty)$$

Question 14

Given the function $$f(x) = x^2$ - 4$$, which of the following is a $$y-$$intercept?

Accepted Answer

$$(0, -4)$$

Question 15

If $$f(x) = x^2$ is reflected over the x$-axis, what is the equation of the new function?

Accepted Answer

$$f(x) = -x^2$

Question 16

Which of the following is the correct slope-intercept form for a line passing through $$(0, 5)$$ with slope $$-3$$?

Accepted Answer

$$y = -3x + 5$$

Question 17

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

Accepted Answer

$$x^2 + x + 2$

Question 18

Which of the following describes the transformation $$y = f(-x)$$?

Accepted Answer

Reflection over the $$y-$$axis

Question 19

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

Accepted Answer

$$(x - 1)^2$

Question 20

What is the domain of $$f(x) = \frac{1}{x-3}$$?

Accepted Answer

$$(-\infty, 3) \cup (3, \infty)$$

Precalculus Study Guide: Functions and Graphs (Chapter 1)

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