Ashley S.

asked • 02/09/17

Graph the function f(x)=2^x. Then graph g(x)=3(2)^x.

How are the y-intercept, domain, and range affected by the transformation.
 

1 Expert Answer

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Michael J. answered • 02/09/17

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g(x) is f(x) multiplied by 3.
 
 
For each point,
 
g(x) = 3f(x)
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Ashley S.

I'm asking how are the y-intercept, domain, and range affected by the transformation.
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02/09/17

Michael J.

The range is not affected at all because of the nature of an exponential function.
 
Range of exponential function is always  (0, ∞).  This is because if you decrease x, the y values get closer to zero.  As x increase, the y values increase infinity.
 
As for domain, it changes because of the vertical stretch factor.  The domain decreases.
 
 
The y-intercept of g(x) is 2 more than the y-intercept of f(x).
 
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02/10/17

Ashley S.

So, would the domain still be all real numbers? And would the range be y>0? And its a vertical shrink by a factor of 2? Sorry im really not understanding how to identify the changes, but those are the answers I got. Is my answer right or wrong? 
 
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02/11/17

Ashley S.

I also said that the y-intercept is shifted 2 up.
 
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02/11/17

Michael J.

Yes
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02/11/17

Ashley S.

all of that is right?
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02/11/17

Aria M.

graph g(x)=x-2
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11/11/22

Aria M.

hello can you help me
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11/11/22

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