MATH-114 Lecture Notes - Lecture 1: Piecewise, Algebraic Fraction, Algebraic Expression

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Functions: a relationship or expression involving one or more variables, a function, (f), is a rule that assigns to each element, (x), exactly one element, f(x) or (y), in a set range. Constant functions: a function whose output value is the same for every input value (no matter what the value of x is, the y-value will always be the same, creating a horizontal line on the graph. It doesn"t matter what the value of x is, the y-value will always be 4 in this example of a constant function. A negative a-value means the parabola opens down and a positive a-value means the parabola opens up. Power functions: a function where y=xn, where n is any real constant number, linear and quadratic functions are both power functions. Root functions: a function that maps on non-negative real numbers onto itself.

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