graph the function f(x)=2(2)^x for -3<=x<=2.

What are the coordinates off the Y- intercept?

Determine the range of this function for its given domain?

How would the graph be different if the original function was changed to f(x)=2(3)^x?

Respuesta :

See attached graph (from -4<=x<=2 )

The y-intercept is the multiplier to the exponential, i.e. 2.

The graph goes from (-3,1/4) to (2, 8), so the range in interval notation is [1/4,8] 

If f(x)=2(3^x), then the y-intercept stays the same at 2.  The graph goes from (-3, 2/27) to (2,18), and the corresponding range will be [2/27, 18].
See second graph for more information.
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