Question

Compute the following for the function defined below. Simplify your answers.

f(x)=3x2−8x+11
(a) f(a)=3a2−8a+11
(b) f(a+h)=
(c) f(a+h)−f(a)=
(d) hf(a+h)−f(a)=

Answer 1

To compute values for the given function, substitute the values into the function and follow the steps.

Step-by-step explanation:

To compute the values for the given function f(x) = 3x^2 - 8x + 11, we can follow these steps:

(a) To find f(a), we substitute a into the function: f(a) = 3a^2 - 8a + 11.

(b) To find f(a+h), we substitute (a+h) into the function: f(a+h) = 3(a+h)^2 - 8(a+h) + 11.

(c) To find f(a+h) - f(a), we subtract f(a) from f(a+h).

(d) To find hf(a+h) - f(a), we multiply f(a+h) - f(a) by h.