Exponential Function Manipulation Worksheet

A Grade 11 math worksheet focusing on manipulating and understanding exponential functions, including their graphs, properties, and transformations.

Grade 11 Math Functions OperationsExponential Function Manipulation

Use This Worksheet

Includes

Multiple ChoiceFill in the BlanksShort AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSF.LE.A.2CCSS.MATH.CONTENT.HSF.BF.B.3

Topics

MathGrade 11Exponential FunctionsAlgebraTransformations

7 sections · Free to use · Printable

← More Math worksheets for Grade 11

Exponential Function Manipulation

Name:

Date:

Score:

Read each question carefully and provide the best answer. Show all your work for full credit.

1. Which of the following equations represents an exponential decay function?

y = 3^x

y = (1/2)^x

y = x^2

y = 2x + 1

2. What is the y-intercept of the function f(x) = 4 * (2)^x?

(0, 0)

(0, 2)

(0, 4)

(4, 0)

3. The horizontal asymptote of an exponential function in the form y = a * b^x + k is at y = .

4. If the base 'b' of an exponential function y = a * b^x is between 0 and 1, the function represents exponential .

5. Describe the transformation applied to the parent function f(x) = 2^x to get g(x) = 2^(x - 3) + 5. (Hint: describe horizontal and vertical shifts.)

6. Graph the function y = (1/3)^x on the coordinate plane below.

7. The domain of any exponential function is all real numbers.

True

False

8. An exponential function can have an x-intercept if its asymptote is not at y = 0.

True

False