Warm Up Graph f(x) = 2x + 3 Graph f(x) = -3x + 1

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Presentation transcript:

Warm Up Graph f(x) = 2x + 3 Graph f(x) = -3x + 1 Do the following problems in pencil on the same graph. Warm Up Graph f(x) = 2x + 3 Erase your graph for x less than -1 Graph f(x) = -3x + 1 Erase your graph for x greater than -1

f(x) = 2x + 3 f(x) = -3x + 1

2.7 Piecewise Functions A combination of equations, each corresponding to a part of the domain.

Graph the function. 1.) f(x) = {

{ Graph the function. 1.b) f(x) = Find f(5) Find f(– 1) Find f(– 10)

{ Evaluate the function. 2.) f(x) = Find f(– 20) Find f(– 1.5)

Graph the function. 3.) f(x) = {

Write the equations for the piecewise functions.

Write the equations for the piecewise functions.

Step Functions A graph that resembles a set of stair steps. Greatest Integer Function g(x) = where for every real number, x, g(x) is the greatest integer less than or equal to x. “Round down”

Evaluate. 1.) If f(x) = , find f(-1.2), f(0), f(2/3), f(1.6) 2.) If g(x) = , find g(-2.4), g(0), g(3.7), g(4.2)

Graph. 3.)

Graph. 4.)

Graph. 5.)

A parking garage charges $12 an hour for the first 4 hours that a car is parking in the lot. After that, the garage charges an additional $8/hr. Graph the step function.

H.W. pg #117 13-20 all 21,23,25 Greatest integer function explanation on the TI83 calculator