Which function represents a vertical stretch of an exponential function? A. f(x)=3(1/2)^x B. f(x)=1/2(3)^x C. f(x)=(3)^2x D. f(x)=3^(1/2x)

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Question:

Which function represents a vertical stretch of an exponential function? A. f(x)=3(1/2)^x B. f(x)=1/2(3)^x C. f(x)=(3)^2x D. f(x)=3^(1/2x)

Answer:

Answer:

A. f(x) = 3*(1/2)^x

Step-by-step explanation:

We know that, a function can be stretched or shrinked both horizontally and vertically.

Now, according to our question we are required to look at the vertical stretch of an exponential function.

The general form for a vertical stretch of a function f(x) is k*f(x) where k>1.

So, we compare this form with the options provided.

We see that in option A the exponential function is multiplied by 3 and so the function will be stretched vertically.

Hence, option A is correct.

They may hopefully help the student take care of the question by working with the questions and answer examples. Then could definitely have some sharing in a group discussion and also learning with the classmate relating to the topic, so another student also have some enlightenment and still keeps up the school learning.

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