Respuesta :

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.

adioabiola

The y-intercept given the function; f(x)= 5(x+4)^3/2 is; f(x) = 40

By definition, the y intercept of a function is the value of the function at point x = 0.

  • In essence, just like in linear function represented in the form; y = mx + c,

y = c = y-intercept when x = 0.

Back to the function: f(x)= 5(x+4)^3/2.

  • If we set, x = 0;

we have;

  • f(x) = 5(0 + 4)^3/2

  • f(x) = 5 (4)^3/2.

  • f(x) = 5 × (√4)³

  • f(x) = 5 × 2³

  • f(x) = 5×8

f(x) = 40 = y-intercept.

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