AP Precalculus Practice

Pick the unit issue and run a focused set.

Unit practice uses the AP Precalculus question bank directly, so a student can repair one target area without restarting the full sprint or simulator.

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Question 1 · Functions & Modeling

Function Composition

Difficulty 2

If f(x)=2x+3 and g(x)=x^2, what is f(g(2))?

Question 2 · Polynomial & Rational Functions

Polynomial Analysis

Difficulty 3

Which value is a zero of f(x)=x^2-5x+6?

Question 3 · Polynomial & Rational Functions

End Behavior

Difficulty 3

For f(x)=-2x^5+4x^3-7, which statement describes the end behavior?

Question 4 · Polynomial & Rational Functions

Rational Function Features

Difficulty 4

The function f(x)=((x-4)(x+2))/((x-4)(x-1)) has which feature at x=4?

Question 5 · Polynomial & Rational Functions

Multiplicity

Difficulty 3

A polynomial has factor (x+3)^2. What is the graph's behavior at x=-3?

Question 6 · Functions & Modeling

Function Transformations

Difficulty 3

Compared with y=f(x), what does y=2f(x-3)-5 do to the graph?

Question 7 · Functions & Modeling

Average Rate of Change

Difficulty 3

A function has values f(1)=4 and f(5)=16. What is the average rate of change on [1,5]?

Question 8 · Polynomial & Rational Functions

Rational Model Interpretation

Difficulty 4

A cost model C(n)=450+1200/n gives cost per student for n students. What does the horizontal asymptote C=450 mean?

Question 9 · Polynomial & Rational Functions

Polynomial Feature Identification

Difficulty 3

A polynomial includes the factor (x-2)^2. What happens at x=2?

Question 10 · Polynomial & Rational Functions

Rational Feature Identification

Difficulty 3

For f(x)=((x-3)(x+2))/((x-3)(x-1)), which feature occurs at x=3?