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The Quadratic Functions

The Quadratic Functions. 3.1.1 Quadratic Function Defined. Remember a quadratic function is a function defined by f(x)=ax2+bc+c, where a,b,c are real numbers and a ≠0.

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The Quadratic Functions

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  1. The Quadratic Functions

  2. 3.1.1 Quadratic Function Defined Remember a quadratic function is a function defined by f(x)=ax2+bc+c, where a,b,c are real numbers and a ≠0. The domain of the quadratic function is the set of real numbers. The 1st term ax2 in the quadratic function is the quadratic term, the 2nd termbx is the linear term, and the last term c is the constant term. Consider the tables of values representing the function f(x)=2x+1 and g(x)=2x2+1 in the examples that follow. 1 1 1 1 1 2 2 2 2 2

  3. Now study the function g(x)=2x2+1 1 1 1 1 1 • -6 -2 2 2 10 4 4 4 4 • Observe that the x values used in the table above are consecutive from -2to3.This time, the 1st diff. in g(x) are not equal, but the 2nd diff. in g(x) is 4. • The table of values for the quadratic function g(x)=2x2+1 shows that equal diff.in g(x).

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