2026/2027
WGU Math C958 Calculus 1 Pre-
Assessment Exam Prep and
Comprehensive Study Guide
2026/2027 for Quizzes, Practice Tests,
and Test Bank Review
Question 1
Which expression correctly represents the domain using interval notation for all real
numbers except two excluded points?
A. (−∞, ∞)
B. (−∞, x) ∪ (z, ∞)
C. [−∞, ∞]
D. (x, z)
Correct Answer: B. (−∞, x) ∪ (z, ∞)
Rationale: Interval notation for domains with excluded values uses unions of open
intervals, excluding specific points where the function is undefined. Option A
incorrectly includes all real numbers, while C is invalid since infinity cannot be
bracketed. Option D restricts values instead of excluding them.
Question 2
Which notation indicates that an endpoint is not included in an interval?
A. [ ]
B. ( )
C. { }
D. | |
Correct Answer: B. ( )
Rationale: Parentheses indicate exclusion of endpoints in interval notation. Brackets
include endpoints, while braces are used for sets and absolute value symbols are
unrelated to interval notation.
Question 3
,2026/2027
Which algebraic condition defines symmetry about the y-axis?
A. f(x) = −f(x)
B. f(x) = f(−x)
C. f(−x) = −f(x)
D. f(x) = x
Correct Answer: B. f(x) = f(−x)
Rationale: A function is symmetric about the y-axis if replacing x with −x produces
the same output. The other options describe odd functions or unrelated conditions.
Question 4
A function has symmetry about the origin if:
A. f(x) = f(−x)
B. f(−x) = −f(x)
C. f(x) = 0
D. f(x) = x²
Correct Answer: B. f(−x) = −f(x)
Rationale: Origin symmetry defines odd functions where input sign reversal changes
output sign. The other options do not represent origin symmetry.
Question 5
Which statement correctly describes a point discontinuity?
A. The graph approaches infinity
B. A hole exists at a single point
C. The graph is smooth
D. The function is linear
Correct Answer: B. A hole exists at a single point
Rationale: Point discontinuity occurs when a function is undefined at a specific x-
value, creating a hole. Other options describe different behaviors or function types.
Question 6
What is the correct definition of an infinite discontinuity?
A. A single missing point
B. A graph that continues smoothly
, 2026/2027
C. Function values grow without bound
D. A horizontal line
Correct Answer: C. Function values grow without bound
Rationale: Infinite discontinuity occurs when a function approaches ±∞ near a vertical
asymptote. Other options do not describe asymptotic behavior.
Question 7
Average rate of change is best described as:
A. Area under curve
B. Slope of a secant line
C. Maximum value
D. Integral value
Correct Answer: B. Slope of a secant line
Rationale: Average rate of change measures how a function changes over an interval,
similar to slope between two points. The other options describe unrelated calculus
concepts.
Question 8
A positive average rate of change indicates:
A. Decrease in function
B. Constant function
C. Interval of increase
D. No change
Correct Answer: C. Interval of increase
Rationale: A positive slope indicates the function is increasing over that interval.
Negative values indicate decrease.
Question 9
Which is the correct general transformation form of a function?
A. y = ax + b
B. y = a f[b(x − c)] + d
C. y = x² + 1
D. y = log x
Correct Answer: B. y = a f[b(x − c)] + d
WGU Math C958 Calculus 1 Pre-
Assessment Exam Prep and
Comprehensive Study Guide
2026/2027 for Quizzes, Practice Tests,
and Test Bank Review
Question 1
Which expression correctly represents the domain using interval notation for all real
numbers except two excluded points?
A. (−∞, ∞)
B. (−∞, x) ∪ (z, ∞)
C. [−∞, ∞]
D. (x, z)
Correct Answer: B. (−∞, x) ∪ (z, ∞)
Rationale: Interval notation for domains with excluded values uses unions of open
intervals, excluding specific points where the function is undefined. Option A
incorrectly includes all real numbers, while C is invalid since infinity cannot be
bracketed. Option D restricts values instead of excluding them.
Question 2
Which notation indicates that an endpoint is not included in an interval?
A. [ ]
B. ( )
C. { }
D. | |
Correct Answer: B. ( )
Rationale: Parentheses indicate exclusion of endpoints in interval notation. Brackets
include endpoints, while braces are used for sets and absolute value symbols are
unrelated to interval notation.
Question 3
,2026/2027
Which algebraic condition defines symmetry about the y-axis?
A. f(x) = −f(x)
B. f(x) = f(−x)
C. f(−x) = −f(x)
D. f(x) = x
Correct Answer: B. f(x) = f(−x)
Rationale: A function is symmetric about the y-axis if replacing x with −x produces
the same output. The other options describe odd functions or unrelated conditions.
Question 4
A function has symmetry about the origin if:
A. f(x) = f(−x)
B. f(−x) = −f(x)
C. f(x) = 0
D. f(x) = x²
Correct Answer: B. f(−x) = −f(x)
Rationale: Origin symmetry defines odd functions where input sign reversal changes
output sign. The other options do not represent origin symmetry.
Question 5
Which statement correctly describes a point discontinuity?
A. The graph approaches infinity
B. A hole exists at a single point
C. The graph is smooth
D. The function is linear
Correct Answer: B. A hole exists at a single point
Rationale: Point discontinuity occurs when a function is undefined at a specific x-
value, creating a hole. Other options describe different behaviors or function types.
Question 6
What is the correct definition of an infinite discontinuity?
A. A single missing point
B. A graph that continues smoothly
, 2026/2027
C. Function values grow without bound
D. A horizontal line
Correct Answer: C. Function values grow without bound
Rationale: Infinite discontinuity occurs when a function approaches ±∞ near a vertical
asymptote. Other options do not describe asymptotic behavior.
Question 7
Average rate of change is best described as:
A. Area under curve
B. Slope of a secant line
C. Maximum value
D. Integral value
Correct Answer: B. Slope of a secant line
Rationale: Average rate of change measures how a function changes over an interval,
similar to slope between two points. The other options describe unrelated calculus
concepts.
Question 8
A positive average rate of change indicates:
A. Decrease in function
B. Constant function
C. Interval of increase
D. No change
Correct Answer: C. Interval of increase
Rationale: A positive slope indicates the function is increasing over that interval.
Negative values indicate decrease.
Question 9
Which is the correct general transformation form of a function?
A. y = ax + b
B. y = a f[b(x − c)] + d
C. y = x² + 1
D. y = log x
Correct Answer: B. y = a f[b(x − c)] + d
