Question

If f(x) = x4 + 3x3 – x2 + 6, find f(-3).

A) -3
B) -2
C) 2
D) 3

Answer 1

To find f(-3), you substitute -3 into the function f(x) = x^4 + 3x^3 - x^2 + 6 and calculate each term. After simplification, the result is -3, thus the correct answer is A) -3.

Step-by-step explanation:

To find f(-3) for the function f(x) = x4 + 3x3 - x2 + 6, we substitute x = -3 into the function:

f(-3) = (-3)4 + 3(-3)3 - (-3)2 + 6

Now we will calculate each term:

(-3)4 = 81

3(-3)3 = 3*(-27) = -81

(-3)2 = 9

Adding these together:

f(-3) = 81 - 81 - 9 + 6 = -3

Therefore, the correct answer is A) -3.