Question

Given the function f(x) = 6x2 −13, what is f(-3)? A. -67 B. -4 C. 41 D. 311

Answer 1

Answer: C. 41

Step-by-step explanation:

The quadratic function is:

 $f(x) = 6x^2-13$

Then, to find $f(-3)$ you need to substitute the input value $x=-3$ into the quadratic function, to obtain the corresponding output value.

Then, when $x=-3$ the  output value is:

$f(x) = 6x^2-13$

$f(-3) = 6(-3)^2-13$

$f(-3) = 6(9)-13$

$f(-3) = 41$

This matches with the option C.

Answer 2

Answer:

-4

Step-by-step explanation:

Please write f(x) as 6x^2 - 13; " ^ " indicates exponentiation.

With f(x) = 6x^2 - 13, we substitute -3 for x in both instances:

f(-3)       =(-3)^2 - 13 = 9 - 13  = -4