WILL GIVE MEDAL PLEASE HELP If this is the graph of , f(x)=a^(x+h)+k then A.) a

Question

WILL GIVE MEDAL PLEASE HELP
If this is the graph of , f(x)=a^(x+h)+k then A.) a<0 B.) 0<a<1 C.) k<1 D.) a>1

samsan9 · Answer

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mathmale · Answer

This is an exponential function with a vertical offset.
If we start with the most general form of an expo. function, $$y=ab^x$$then:   
1) If 0<b<1, the function is a DECAYING exponential;
2) if 1<b, the function is an exponentially increasing function.

Please, if you are able, draw a basic exponential growth function, and then an exponential decay function.  Then compare your graphs with the graph given in this problem.  What does this comparison tell you?

samsan9 · Answer

wait what function would i compare this graph too?

mathmale · Answer

Please, if you are able, draw a basic exponential growth function, and then an exponential decay function.

mathmale · Answer

Have you graphed y=2^x before?  or y=e^x?  Both are examples of exponential growth functions.

samsan9 · Answer

well i graphed both and the e^x has a side higher

samsan9 · Answer

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samsan9 · Answer

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samsan9 · Answer

@mathmale

mathmale · Answer

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