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Which function is a shrink of the exponential growth function shown on the graph?

a. f(x) = 2(3)x
b. f(x) = One-half(3)x
c. f(x) = 2(one-third) Superscript x
d. f(x) = One-half (one-third) Superscript x

Which function is a shrink of the exponential growth function shown on the graph a fx 23x b fx Onehalf3x c fx 2onethird Superscript x d fx Onehalf onethird Supe class=

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Answer:

Option B

Step-by-step explanation:

The function in the graph is an exponential growth function.

Therefore its equation is [tex]g(x)=3^x[/tex]

A transformation that shrinks this graph is of the form: [tex]f(x)=k*3^x[/tex] where [tex]0\:<\:k\:<\:1[/tex]

From the given options, we must have [tex]k=\frac{1}{2}[/tex]

This implies that:

[tex]f(x)=\frac{1}{2} (3)^x[/tex]

Answer:

B

Step-by-step explanation:

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