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dangina [55]
3 years ago
8

Which function represents a vertical stretch of an exponential function?

Mathematics
2 answers:
nika2105 [10]3 years ago
7 0

Answer:

A. f(x)=3(\frac{1}{2})^x

Step-by-step explanation:

The options are:

A. f(x)=3(\frac{1}{2})^x\\\\B. f(x)=\frac{1}{2}(3)^x\\\\C. f(x)=(3)^{2x}\\\\ D. f(x)=3^{(\frac{1}{2}x)}

For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:

f(x) = a^x

Where "a" is the base.

There are several transformations for a function f(x), some of those transformations are shown below:

1. If  bf(x) and  b>1, then the function is stretched vertically by a factor of "b".

2. If   bf(x)  and 0, then the function is  compressed vertically by a factor of "b"

Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:

f(x)=3(\frac{1}{2})^x

Where the factor is:

b=3

And 3>1

goldfiish [28.3K]3 years ago
5 0

Answer:

A.

Step-by-step explanation:

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The smiths have two children. The sum of their ages is 23. The produce of their ages is 132. How old are the children?
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For this case we propose a system of equations:

x: Let the variable representing the age of the first child of the Smiths

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x = 23-y

We substitute in the second equation:

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Answer:

 The ages of the children are 11 and 12 respectively.

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