Function f if an exponential function. by what factor does the output value increase as each input value increases by 1? x: -1, 1, 3, 5, 7f(x): 1/4, 6, 64, 1024, 16234

the growth factor is 4

Step-by-step explanation:

We are given f(x) is exponential function

so,

where

a is the initial value

b  is output value increase as each input value increases by 1

so, we have to find 'b'

we can select any two points and then find 'b'

At x=1 , f(x)=4:

we can plug these values

At x=3 , f(x)=64:

we can plug these values

now, we can divide both equations

and we get

we can simplify it

So, the growth factor is 4

nswer: a   y-axis

step-by-step explanation: