The graph of the exponential function f(x) = 2^x undergoes two transformations to become g(x) = 3*2^x. The first transformation is a vertical stretch by a factor of 3, and the second transformation is a vertical shift upwards by 5 units.
Overall, the graph of g(x) = 3*2^x will be steeper than the graph of f(x) = 2^x, as the vertical stretch by a factor of 3 will make the function grow faster. Additionally, the vertical shift upwards by 5 units will shift the entire graph upwards on the y-axis.
Therefore, the graph of g(x) = 3*2^x = 5 will be steeper and shifted upwards compared to the graph of f(x) = 2^x.
the exponential function f(x)=2^x undergoes two transformations to g(x)= 3*2^x=5 how does the graph change?
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