Question

Evaluate the function g(x) = –2x2 + 3x – 5 for the input values –2, 0, and 3.

Answer 1

g(x) = –2x2 + 3x – 5

input =  –2, g(-2) = –2(-2)^2 + 3(-2) – 5 = -8 - 6 - 5 = -19

input =  0, g(0) = –2(0)^2 + 3(0) – 5 = -5

input =  3, g(3) = –2(3)^2 + 3(3) – 5 = -18 + 9  - 5 = -14

Answer 2

The value for the input values -2, 0 and 3 are -19, -11 and  - 14

Functions and expressions

Given the function g(x) = –2x^2 + 3x – 5

Given the input value of -2, hence;

g(-2) = -2(-2)^2 + 3(-2) - 5

g(-2) = -2(4) - 6 - 5

g(-2) = -8 - 11

g(-2) = -19

Given the input value of 0, hence;

g(0) = -2(0)^2 + 3(-2) - 5

g(0) = -2(0) - 6 - 5

g(0) = - 11

Given the input value of 3, hence;

g(3) = -2(3)^2 + 3(3) - 5

g(3) = -2(9) +9 - 5

g(3) = -18 + 4

g(3) = -14

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