Question

The graphs of y=4x and y=4^x are shown below.In general, how does the growth of y=4^x compare to the growth of y=4x?

Answer 1

we are given

For y=4x:

$y=4x$

we can see that this is a linear function

$y=mx+b$

and we know that growth of linear function is always constant

because slope is always constant

For $y=4^x$:

we can see that it is exponential function

because of form

$y=a(b)^x$:

so, it's growth will be increasing exponentially

graph: