Determine the Concavity of F(x) = - 24 $\infty$ , 8), Upwards on (8

Multiple Choice

Determine the concavity of f(x) = - 24 + 6x + 18 and identify any points of inflection.

A) concave downwards on (- $\infty$ , 8) , upwards on (8, $\infty$ ) ; inflection at x = 8
B) concave downwards on (- $\infty$ , -8) , upwards on (-8, $\infty$ ) ; inflection at x = -8
C) concave upwards on (- $\infty$ , 8) , downwards on (8, $\infty$ ) ; inflection at x = 8
D) concave upwards on (- $\infty$ , -8) , downwards on (-8, $\infty$ ) ; inflection at x = -8
E) concave upwards on (- $\infty$ , $\infty$ ) ; no inflection points