special functions

special functions - Transcript

Day 5 Problems 10 2 06
Write an equation in slope intercept form for the line that satisfies each set of conditions 1 Passes through 0 3 and 4 1 2 Slope 4 passes through the origin 3 Passes through 2 5 perpendicular to 1 y x 7 4 Define 4 Data with two variables is called 5 An equation of a line that can be used to predict one of the variables given the other variable is called a

2 6 Special Functions
Step function a function whose graph is a series of line segments
Ex greatest integer function written f x x means the greatest integer is less than or equal to x For example 7 3 7 and 1 5 2

Step Functions

Constant Function
Constant Function f x b The function f x 0 is called the zero function

Identity Function
Identity function
f x x

Absolute Value Function
Absolute Value Function
f x x

1 Graph f x x 1 2 Graph f x x 2
1

2 2

Piecewise Function
To graph piecewise functions examine the inequalities in the definition of the function to determine how much of the piece to include
Ex f x x 4 if x 2 1 if x 2

More Practice
Textbook p 92 4 11 15 20