A) f(0) = -2
B) f(2) = 12
C) f(-2) = 0
D) f(x + 1) = 2x² + 7x + 3
E) f(-x) = 2x² - 3x - 2
How to find the output value of a function?
We are given the quadratic function;
f(x) = 2x² + 3x - 2
A) Input Value = 0
f(0) = 2(0)² + 3(0) - 2
f(0) = -2
B) Input Value = 2
f(2) = 2(2)² + 3(2) - 2
f(2) = 12
C) Input Value = -2
f(-2) = 2(-2)² + 3(-2) - 2
f(-2) = 0
D) Input Value = x + 1
f(x + 1) = 2(x + 1)² + 3(x + 1) - 2
f(x + 1) = 2(x² + 2x + 1) + 3x + 3 - 2
f(x + 1) = 2x² + 4x + 2 + 3x + 3 - 2
f(x + 1) = 2x² + 7x + 3
E) Input Value = -x
f(-x) = 2(-x)² + 3(-x) - 2
f(-x) = 2x² - 3x - 2
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