Question

Consider the function f(x) = 2x and the function g(x) shown below. How will the graph of g(x) differ from the graph of f(x)? G(x)=2f(x)=2(2^x))

Answer 1

Answer:

The graph of g( x ) is the graph of f(x) stretched vertically by a factor of 2.

Option C is the correct option.

Step-by-step explanation:

Solution,

f ( x ) = 2ˣ

g ( x ) = 2 ( 2 ˣ )

2 is multiplied with f(x)

2 is greater than 1

so, Vertical stretch by a factor of 2.

Option C is correct.

Hope this helps...

Best regards!!

Answer 2

We want to compare the functions f(x) and g(x), given that we know that g(x) is a transformation of f(x).

The correct option is B, "the graph of g(x) is the graph of f(x) stretched vertically by a scale factor of 2."

Here we know that:

f(x)  =2^x

g(x) = 2*f(x) = 2*2^x

First, remember that a general vertical dilation/stretch of scale factor k is written as:

g(x) = k*f(x)

So only by that and knowing that g(x) = 2*f(x), we can conclude that the graph of g(x) is the graph of f(x) dilated/stretched vertically by a scale factor of 2.

Then the correct option is B, "the graph of g(x) is the graph of f(x) stretched vertically by a scale factor of 2."

If you want to learn more, you can read:

https://brainly.com/question/16670419