Final answer:
To evaluate the function h(x) = – 3x^4 + 2x^3 – 12x - 6 for x = -2, replace every occurrence of x in the function with -2 and calculate the value. The result is h(-2) = -46.
Step-by-step explanation:
To evaluate the function h(x) = – 3x^4 + 2x^3 – 12x - 6 for x = -2:
Replace every occurrence of x in the function with -2:
h(-2) = -3(-2)^4 + 2(-2)^3 - 12(-2) - 6
Calculate the value:
h(-2) = -48 + (-16) + 24 - 6
h(-2) = -46
Therefore, h(-2) = -46.