Exponential Function Manipulation

A Grade 12 math worksheet focusing on manipulating and understanding exponential functions, including graphing, transformations, and solving equations.

Grade 12 Math Functions OperationsExponential Function Manipulation

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSF.BF.B.3CCSS.MATH.CONTENT.HSF.LE.A.2CCSS.MATH.CONTENT.HSA.CED.A.1

Topics

MathGrade 12Exponential FunctionsAlgebra

8 sections · Free to use · Printable

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Exponential Function Manipulation

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Read each question carefully and provide your answers in the space provided. 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^3

y = 2x + 1

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

(0, 0)

(0, 1)

(0, 4)

(1, 8)

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

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 of the graph of y = 2^x to y = 2^(x-3) + 5.

6. Graph the function f(x) = (1/2)^x on the coordinate plane below. Identify at least three points on the graph.

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

True

False

8. An exponential function can have a negative base.

True

False

9. Solve for x: 3^(2x - 1) = 27