Question

Given the function, f(x)= 5(x+4)^3/2, which of the following represents its y-intercept

Answer 1

Answer:

The y-intercept is at (0,40).

Step-by-step explanation:

y = f(x)= 5(x+4)^3/2

We find the y-intercept but putting x = 0 and evaluating:

y = f(0) = 5(0 + 4)^2^3/2

= 5*4^3/2

= 5*(√4)^3

= 5 * 2^3

= 5*8

= 40.