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The domain of the quadratic function is the set of real numbers. The 1 st term ax2 in the quadratic function is the quadratic term, the 2 nd term bx is.

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Presentation on theme: "The domain of the quadratic function is the set of real numbers. The 1 st term ax2 in the quadratic function is the quadratic term, the 2 nd term bx is."— Presentation transcript:

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2 The domain of the quadratic function is the set of real numbers. The 1 st term ax2 in the quadratic function is the quadratic term, the 2 nd term bx 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 Remember a quadratic function is a function defined by f(x)=ax2+bc+c, where a,b,c are real numbers and a ≠0. X-20123 F(x)-31357

3 x-20123 g(x)9313919  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 1 st diff. in g(x) are not equal, but the 2 nd 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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