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Questions and Answers
When is a function y=f(x) even?
When is a function y=f(x) even?
when f(-x)=f(x)
When is a function y=f(x) odd?
When is a function y=f(x) odd?
when f(-x)=-f(x)
What is the quadratic formula?
What is the quadratic formula?
X=-b±√b²−4ac/(over)2a
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Study Notes
Function Properties
- A function ( y = f(x) ) is even if ( f(-x) = f(x) ), indicating symmetry about the y-axis.
- A function ( y = f(x) ) is odd if ( f(-x) = -f(x) ), indicating symmetry about the origin.
Quadratic Formula
- The quadratic formula is used to find the roots of a quadratic equation ( ax^2 + bx + c = 0 ).
- Expressed as: ( X = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ).
- The discriminant ( b^2 - 4ac ) determines the nature of the roots:
- Positive: Two distinct real roots.
- Zero: One real double root.
- Negative: No real roots (complex roots).
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