Question

Evaluate the function at the given values of the variable.

f(x) = x2 + 6 a. f(6) b. f(-5)

Answer 1

To evaluate the function f(x) = x^2 + 6 at the given values, substitute x with 6 and -5 respectively to obtain f(6) = 42 and f(-5) = 31.

Step-by-step explanation:

The student has asked to evaluate a quadratic function, f(x) = x2 + 6, at two specified values of x: 6 and -5. To find f(6), we substitute 6 in place of x in the function and solve:

f(6) = 62 + 6 = 36 + 6 = 42

To find f(-5), we substitute -5 in place of x in the function and solve:

f(-5) = (-5)2 + 6 = 25 + 6 = 31

So, the evaluations give us f(6) = 42 and f(-5) = 31.