MAT 144 Midterm Exam Practice Questions and Correct Answers | Comprehensive Study Guide

MAT 144 MIDTERM EXAM QUESTIONS AND
CORRECT AND CORRECT ANSWERS (VERIFIED
ANSWERS) Q&A 2026-2027|INSTANT DOWNLOAD
1. Which of the following best describes a function?
A. A relation where each input has exactly one output
B. A relation where outputs cannot repeat
C. A graph that is always a straight line
D. A set of ordered pairs with no restrictions
Correct Answer: A. A relation where each input has exactly
one output
Rationale: A function assigns exactly one output value to each
input value. Multiple inputs may share the same output, but
one input cannot have multiple outputs.


2. What is the domain of a function?
A. The set of possible output values
B. The set of possible input values
C. The highest point on a graph
D. The slope of a line
Correct Answer: B. The set of possible input values
Rationale: The domain represents all allowable input values
(usually x-values) of a function.

,3. What is the range of a function?
A. The set of possible outputs
B. The set of possible inputs
C. The x-intercept
D. The independent variable
Correct Answer: A. The set of possible outputs
Rationale: The range contains all values produced by the
function, usually the y-values.


4. Determine whether the relation {(1,2), (2,3), (3,4), (1,5)} is a
function.
A. Yes, because every y-value is different
B. Yes, because x-values repeat
C. No, because one input has two outputs
D. No, because the range is too large
Correct Answer: C. No, because one input has two outputs
Rationale: The input x = 1 has two outputs (2 and 5), violating
the definition of a function.


5. Evaluate f(x) = 3x + 2 when x = 4.
A. 10
B. 12

,C. 14
D. 16
Correct Answer: C. 14
Rationale: Substitute x = 4:
f(4) = 3(4) + 2 = 12 + 2 = 14.


6. What is the slope of the line passing through (2,3) and
(6,11)?
A. 1
B. 2
C. 3
D. 4
Correct Answer: B. 2
Rationale:
Slope = (y₂ − y₁)/(x₂ − x₁)
= (11 − 3)/(6 − 2) = 8/4 = 2.


7. A line with a positive slope is:
A. Horizontal
B. Decreasing from left to right
C. Increasing from left to right
D. Vertical
Correct Answer: C. Increasing from left to right

, Rationale: Positive slopes rise as x increases.


8. What is the slope of a horizontal line?
A. 0
B. 1
C. Undefined
D. Negative
Correct Answer: A. 0
Rationale: Horizontal lines have no vertical change, so their
slope is zero.


9. What is the slope of a vertical line?
A. 0
B. 1
C. Undefined
D. Infinite
Correct Answer: C. Undefined
Rationale: Vertical lines have zero change in x, causing division
by zero in the slope formula.


10. Which equation represents slope-intercept form?
A. ax + by = c
B. y = mx + b