Special Functions Eric Hoffman Algebra II PLHS Oct
Special Functions Eric Hoffman Algebra II PLHS Oct. 2007
Key Topics • Step Functions: special type of function that gives the same y-values for different x -values Domain: Z+ Range: positive multiples of 60 Means for 2 < x ≤ 3 the y-value is 180
Key Topics • Example: For consultation, a psychologist charges $85/hr or any fraction thereof. This means if you use 1. 5 hrs you get charged for 2, etc. What is the domain and range of this function?
Key Topics • Cingular wireless charges 35 cents per minute for a phone call. If you make a phone call that lasts 30 sec. you get charged for 1 min. If you make a 2 min 30 sec phone call you get charged for 3 min. etc. • Graph the step function that describes this situation
Key Topics Cost in Cents Wireless Fees What is the domain and range of this function? Minutes Used
Key Topics • Greatest integer function: graph the line corresponding to the greatest integer given What y-value would correspond to the following x-values? x = 1. 3, 2, 2. 4, 3. 7, -2, -3. 2, -4. 3
Key Topics What is the domain and range of this function?
Key Topics • Constant function: a function with no “x” in the expression – Ex. f(x) = 4, f(x) = 5, g(x) = -3 What is the domain and range of this function? What function is represented by this red line?
Key Topics • Identity function: the function f(x) = x is the identity function What is the domain and range of this function?
Key Topics • Absolute Value Function: f(x) = |x| What is the domain and range of this function?
Key Topics • Translations: if the value is inside the absolute value you move the graph horizontally, if its outside you move it vertically • What would look like? ? What is the domain and range of this function?
Key Topics • Piecewise Functions: a function that is written using two or more expressions
Key Topics What is the domain and range of this function?
Key Topics Tells you where the graph is going to switch forms
Key Topics • Homework pg. 94 4 – 48 even • 23 problems!!
- Slides: 15