AP®MathsCollege BoardPrecalculusExam QuestionsPolynomial & Rational FunctionsTransformations of Functions

Transformations of Functions (College Board AP® Precalculus): Exam Questions

19 mins16 questions

Select a download format for Transformations of Functions

Scroll for more

Select an answer set to view for
Transformations of Functions

1
Sme Calculator
1 mark

The function space f has domain open square brackets negative 3 comma 5 close square brackets. The function g is defined by g open parentheses x close parentheses equals f open parentheses x plus 4 close parentheses.

Determine the domain of g. Show the work that leads to your answer.

How did you do?

2
Sme Calculator
1 mark

Let space f open parentheses x close parentheses equals ln open parentheses x close parentheses. The function g is defined by g open parentheses x close parentheses equals 0.5 f open parentheses x minus 1 close parentheses plus 4.

Find the value of g open parentheses 3 close parentheses as a decimal approximation. Show the work that leads to your answer.

How did you do?

3
Sme Calculator
1 mark

The function space f has range open square brackets negative 2 comma 7 close square brackets. The function g is defined by g open parentheses x close parentheses equals negative 3 f open parentheses x close parentheses plus 5.

Determine the range of g. Show the work that leads to your answer.

How did you do?

4
Sme Calculator
2 marks

The function space f has zeros at x equals negative 1, x equals 2, and x equals 6. The function g is defined by g open parentheses x close parentheses equals f open parentheses 0.5 open parentheses x minus 3 close parentheses close parentheses.

Determine the zeros of g. Show the work that leads to your answer.

How did you do?

5
Sme Calculator
2 marks

The function space f has a maximum value of 8, which occurs at x equals negative 1. The function g is defined by g open parentheses x close parentheses equals 2 f open parentheses x plus 2 close parentheses plus 5.

Determine the maximum value of g and the value of x at which it occurs. Show the work that leads to your answer.

How did you do?

6
Sme Calculator
2 marks

The function space f has domain open square brackets negative 2.3 comma space 5.6 close square brackets. The function g is defined by g open parentheses x close parentheses equals f open parentheses 0.7 x minus 1.5 close parentheses.

Determine the domain of g. Express the endpoints of the interval as decimal approximations. Show the work that leads to your answer.

How did you do?