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Exponential Function Manipulation - Grade 9

This worksheet focuses on manipulating and understanding exponential functions, including their graphs, properties, and basic transformations.

Grade 9 Math Functions OperationsExponential Function Manipulation
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerCustomTrue / False

Standards

CCSS.MATH.CONTENT.HSF.LE.A.2CCSS.MATH.CONTENT.HSF.IF.C.7.E

Topics

mathgrade 9exponential functionsalgebra
8 sections · Free to use · Printable
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Exponential Function Manipulation

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

1. Which of the following functions represents exponential decay?

a

f(x) = 3^x

b

f(x) = (1/2)^x

c

f(x) = x^2

d

f(x) = 2x + 1

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

a

(0, 2)

b

(0, 4)

c

(0, 8)

d

(0, 1)

3. In the exponential function f(x) = a * b^x, 'a' represents the   and 'b' represents the  .

4. If the growth factor 'b' in an exponential function is between 0 and 1, the function represents exponential  .

5. Describe how the graph of y = 2^x + 3 differs from the graph of y = 2^x.

6. Graph the function y = 3^x on the coordinate plane below.

01234512345

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

T

True

F

False

8. An exponential function always has a horizontal asymptote.

T

True

F

False

9. A population of bacteria doubles every hour. If you start with 100 bacteria, write an exponential function to model the population (P) after 't' hours. Then, use your function to find the population after 3 hours.