Honors Pre-Calculus Library of Functions, Piecewise- Defined Functions.

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Presentation transcript:

Honors Pre-Calculus Library of Functions, Piecewise- Defined Functions

A linear function is a function of the form f(x)=mx+b The graph of a linear function is a line with a slope m and y-intercept b. (0,b)

A constant function is a function of the form f(x)=b b x y

The square function

Cubic Function (1,1) (-1,-1)

Square Root Function

Rational Function (1,1) (-1,-1)

Absolute Value Function (1,1) (-1,1)

When functions are defined by more than one equation, they are called piece-wise defined functions.

Piecewise Function: a) Find f(-1), f(1), f(3). b) Find the domain. c)Sketch the graph. a) f(1) = 3 f(-1) = = 2 f(3) = = 0

c)