What is f(3) for the quadratic function F(x) = 2x² + x - 12?

Solution:

Given,

The quadratic function F(x) = 2x² + x - 12.

Definition:

A quadratic function is a polynomial function with one or more variables in which the highest exponent of the variable is two.

Since the highest degree term in a quadratic function is of the second degree, therefore it is also called the polynomial of degree 2.

For example, if f(x) = 2x² + 4x - 5; then a = 2, b = 4, c = -5.

if f(x) = 3x² - 9; then a = 3, b = 0, c = -9.

If the given function is f(x) =2x² + x - 12, then a = 2, b = 1 and c = -12

Considering x = 3, we get,

f(x) = 2x² + x - 12.

f(3) = 2(3)² + 3 - 12.

f(3) = 18 + 3 - 12.

f(3) = 9.

Therefore, f(3) = 9.

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What is f(3) for the quadratic function F(x) = 2x² + x - 12?

Summary:

f(3) for the quadratic function F(x) = 2x² + x - 12 is 9.