For the function f(x) = (x-3)3+1, find f (x).

f(x) = 3 + ∛(x − 1)

Step-by-step explanation:

y = (x − 3)³ + 1

x = (y − 3)³ + 1

x − 1 = (y − 3)³

∛(x − 1) = y − 3

y = 3 + ∛(x − 1)

2.83941151 would be the answer you're looking for! : )

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.