Math  /  Algebra

QuestionQuestion 2 0/10 / 1 pt 5 9 Details
The function f(x)=3xf(x)=3^{x} is often referred to as a tripling function because f(x)f(x) triples whenever xx changes by 1 . But this is not the only example of a tripling function. Give two more distinct examples of tripling functions (functions whose values triple whenever the independent variable changes by 1 ). - f(x)=3xf(x)=3^{x} - g(x)=g(x)= \square - h(x)=h(x)= \square

Studdy Solution
To create two distinct examples, choose different values for the constant a a .
Example 1: Let a=2 a = 2 . Then g(x)=23x g(x) = 2 \cdot 3^x .
Example 2: Let a=5 a = 5 . Then h(x)=53x h(x) = 5 \cdot 3^x .
Both functions g(x)=23x g(x) = 2 \cdot 3^x and h(x)=53x h(x) = 5 \cdot 3^x are tripling functions.
The two distinct examples of tripling functions are:
g(x)=23x g(x) = 2 \cdot 3^x
h(x)=53x h(x) = 5 \cdot 3^x

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