Let h be the function defined by the equation below.

h(x)= x^3-x^2+x+6
h(-8)

To find h(-8), we substitute -8 into the function h(x) and evaluate it.

h(-8) = (-8)^3 - (-8)^2 + (-8) + 6

Now, we simplify the expression.

= -512 - 64 - 8 + 6

= -578

Therefore, h(-8) equals -578.

To find the value of h(-8) for the given function h(x), substitute -8 in place of x in the equation and simplify.

h(x) = x^3 - x^2 + x + 6

Substituting x = -8:

h(-8) = (-8)^3 - (-8)^2 + (-8) + 6

Simplifying:

h(-8) = -512 - 64 - 8 + 6

h(-8) = -578

Therefore, h(-8) = -578.

This is calculus?

h(x)= x^3-x^2+x+6
h(-8)

Plug -8 in for x and do the math.