C957 Practice Test on Inverse Functions and
Exponential Models
WGU C957 Applied Algebra Practice Questions |
2026-2027 Edition
This practice test focuses specifically on Inverse Functions and Exponential
Models for the WGU C957 Applied Algebra Objective Assessment. The questions
mirror the format and difficulty of the actual OA and include detailed rationales
for each answer .
KEY CONCEPTS REVIEW
Concept Definition
Inverse Function A function that undoes or reverses the action of another
function . If the original function multiplies by 2, the inverse divides by 2
Exponential Function A function with extremely rapid increase or decrease in
proportion to its current value; form f(x) = b^x . Models constant ratio change and
percentage-based growth
Horizontal Asymptote A horizontal line that a graph approaches but never
touches
Exponential Growth Base b > 1 (e.g., 1.05 = 5% growth)
Exponential Decay 0 < b < 1 (e.g., 0.85 = 15% decay)
Coefficient of Determination (r²) Measures how well a regression prediction
approximates real data points; r² = 1 indicates perfect fit
, SECTION 1: INVERSE FUNCTIONS (Questions 1-20)
Question 1: A function doubles each input. What does the inverse function do?
A) Doubles each input
B) Adds 2 to each input
C) Subtracts 2 from each input
D) Halves each input
Correct Answer: D) Halves each input
Rationale: The inverse function "undoes" the original operation. If the original function doubles
the input, the inverse function performs the opposite operation, which is halving the input .
Question 2: If (3, 7) is a point on the graph of f(x), what point is on the graph of f⁻¹(x)?
A) (7, 3)
B) (3, 7)
C) (-3, -7)
D) (-7, -3)
Correct Answer: A) (7, 3)
Rationale: Inverse functions swap the input and output coordinates. If f(3) = 7, then f⁻¹(7) = 3, so
the point (7, 3) is on the inverse function .
Question 3: Augusta has $100 to spend on markers and pens. Markers cost $2. Pens cost $5.
The number of pens she can purchase is modeled by the function p(m) = -0.4m + 20, where m is
the number of markers she can purchase. Find the inverse function of p(m).
Exponential Models
WGU C957 Applied Algebra Practice Questions |
2026-2027 Edition
This practice test focuses specifically on Inverse Functions and Exponential
Models for the WGU C957 Applied Algebra Objective Assessment. The questions
mirror the format and difficulty of the actual OA and include detailed rationales
for each answer .
KEY CONCEPTS REVIEW
Concept Definition
Inverse Function A function that undoes or reverses the action of another
function . If the original function multiplies by 2, the inverse divides by 2
Exponential Function A function with extremely rapid increase or decrease in
proportion to its current value; form f(x) = b^x . Models constant ratio change and
percentage-based growth
Horizontal Asymptote A horizontal line that a graph approaches but never
touches
Exponential Growth Base b > 1 (e.g., 1.05 = 5% growth)
Exponential Decay 0 < b < 1 (e.g., 0.85 = 15% decay)
Coefficient of Determination (r²) Measures how well a regression prediction
approximates real data points; r² = 1 indicates perfect fit
, SECTION 1: INVERSE FUNCTIONS (Questions 1-20)
Question 1: A function doubles each input. What does the inverse function do?
A) Doubles each input
B) Adds 2 to each input
C) Subtracts 2 from each input
D) Halves each input
Correct Answer: D) Halves each input
Rationale: The inverse function "undoes" the original operation. If the original function doubles
the input, the inverse function performs the opposite operation, which is halving the input .
Question 2: If (3, 7) is a point on the graph of f(x), what point is on the graph of f⁻¹(x)?
A) (7, 3)
B) (3, 7)
C) (-3, -7)
D) (-7, -3)
Correct Answer: A) (7, 3)
Rationale: Inverse functions swap the input and output coordinates. If f(3) = 7, then f⁻¹(7) = 3, so
the point (7, 3) is on the inverse function .
Question 3: Augusta has $100 to spend on markers and pens. Markers cost $2. Pens cost $5.
The number of pens she can purchase is modeled by the function p(m) = -0.4m + 20, where m is
the number of markers she can purchase. Find the inverse function of p(m).
