Questions and Answers
Which exponential function is represented by the graph?
f(x) = 3(2^x)
Which graph represents a function with an initial value of 1/2?
Which is a stretch of an exponential decay function?
f(x) = 5/4(4/5)^x
What is the initial value of the exponential function shown on the graph?
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What is the initial value of the exponential function represented by the table?
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Which value of a in the exponential function below would cause the function to stretch? f(x) = a(1/3)^x
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Which function is a shrink of the exponential growth function shown on the graph?
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What is the decay factor of the exponential function represented by the table?
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Consider the exponential function f(x) = 3 and its graph. Which statements are true for this function and graph? Check all that apply.
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Which exponential function has an initial value of 2?
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Study Notes
Exponential Functions and Their Characteristics
- The graph of the function f(x) = 3(2^x) represents an exponential function with growth characteristics.
- An initial value of 1/2 is found in option B of related graphs.
- The function f(x) = 5/4(4/5)^x exemplifies a vertical stretch of an exponential decay function.
- The initial value of an unidentified exponential function graph corresponds to 4.
Initial Values in Exponential Functions
- The function represented by a table has an initial value of 1/2.
Effects of Parameter 'a' on Exponential Functions
- Setting a = 1.5 in the function f(x) = a(1/3)^x causes the function to stretch vertically.
Exponential Growth and Shrinkage
- The function f(x) = 1/2(3)^x denotes a vertical shrink of an exponential growth function.
- For a particular function represented in a table, the decay factor is identified as 1/3.
True Statements About Exponential Functions
- The function f(x) = 3 displays certain characteristics: it contains a growth value and exhibits exponential decay, while being a stretch of the function f(x) = 3^x.
Functions with Specific Initial Values
- The exponential function f(x) = 2(3^x) starts with an initial value of 2.
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Description
This quiz focuses on understanding vertical stretches and shrinks in exponential functions. You will encounter questions about identifying functions represented by graphs and determining initial values. Test your knowledge of the properties and transformations of exponential functions with this engaging set of flashcards.
