If joe wanted to create a function that modeled an exponential function with base of 8 and what exponents were needed to reach specific values, how would he set up his function?

f(x) = 8 ^x

you can plug in any number for the exponent to reach the specific value you desire. this is all done to the base of 8.

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.