Question

given the function f(x)=5(x+4)^3/2, which of the following represents its y-intercept? (1)40 (2)20 (3)4 (4)30

Answer 1

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

y =5(x+4)^3/2. The y intercept is value of y when x = 0

y intercept = 5(0+4)^3/2 = 5* 4^3.2 = 5*6 = 30. Use your calculator.

y intercept = 30