Which of the following terms best describes the graph of the exponential function given below?
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The term that best describes the graph of the exponential function is:
A. Increasing
We know that in general a exponential function is given by:
[tex]f(x)=ab^x[/tex]
where a>0 is the initial value and b is the growth factor if b>1
and a decay factor if 0<b<1
Also, we know that a growth function is also known as a increasing function and a decay function is a decreasing function.
Here we are given a function as:
[tex]f(x)=4\cdot 5^x[/tex]
Here b=5>1
Hence, it is a increasing function.
Also, we may see by the graph of the function.