Question 1

Given the relation represented by the mapping diagram in Image 1, which of the following statements is true?

Accepted Answer

The relation is not a function because at least one input is paired with more than one output.

Question 2

Which of the following best describes the graph in Image 2?

Accepted Answer

The graph represents a quadratic function that opens downward.

Question 3

Based on the graph in Image 3, what is the domain and range of the relation?

Accepted Answer

Domain: $$[-4, 4]$$, Range: $$[-3, 3]$$

Question 4

Does the graph in Image 3 represent a function? Use the vertical line test to justify your answer.

Accepted Answer

No, because some vertical lines intersect the graph more than once.

Question 5

Which of the following equations best matches the graph in Image 10?

Accepted Answer

$$y = -\frac{4}{3}x - \frac{23}{3}$$

Question 6

What is the slope and $$y-$$intercept of the line shown in Image 10?

Accepted Answer

Slope: $$-\frac{4}{3}$$, $$y-$$intercept: $$-\frac{23}{3}$$

Question 7

Which graph represents the solution set to the inequality $$x + y \leq -5$$?

Accepted Answer

Image 14

Question 8

Which graph shows the intersection of the inequalities $$x - y  -5$$?

Accepted Answer

Image 15

Question 9

Which graph shows the union of the inequalities $$x + y \leq -2 or$$ $$x - y \geq 3$$?

Accepted Answer

Image 16

Question 10

Given the graph in Image 12, what is the equation of the line?

Accepted Answer

$$y = -4$$

Question 11

Which of the following best describes the graph in Image 11?

Accepted Answer

A line with positive slope

Question 12

Which of the following best describes the graph in Image 13?

Accepted Answer

A line with negative slope passing through $$(0, 5)$$ and $$(6, 0)$$

Question 13

Which of the following graphs represents a function?

Accepted Answer

Image 12

Question 14

If a vertical line intersects a graph at more than one point, what does this indicate about the relation?

Accepted Answer

The relation is not a function.

Intermediate Algebra Midterm Review Guidance

Study Guide - Practice Questions