Question

Given N(x)=-x⁴+6x-4, find the function values. Express numbers as integers or simplified fractions.

(a) N(2)

Answer 1

To find the function value for N(2) where N(x) = -x⁴ + 6x - 4, substitute x with 2, then simplify the expression. The evaluated function value for N(2) is -12.

Step-by-step explanation:

To find the function value of N(x) = -x⁴ + 6x - 4 when x = 2, we simply substitute x with 2 and calculate the result.

Substituting x = 2 into the function gives us: N(2) = -(2)⁴ + 6(2) - 4.

Solving this, we get:

N(2) = -16 + 12 - 4, which simplifies to:

N(2) = -8 - 4

Finally, combining like terms we find that:

N(2) = -12

Therefore, the function value for N(2) is -12.