EVALUATING FUNCTIONS FROM GRAPHS AND TABLES SECTIONS 5

EVALUATING FUNCTIONS FROM GRAPHS AND TABLES SECTIONS 5. 1 & 14. 1 C

Function notation replaces the independent variable, y with either f(x), g(x), or h(x). f _____ of _____” x f(x) is read as “ ____ Does not mean multiplication! g _____ of _____” x g(x) is read as “ ____ h _____ of _____” x h(x) is read as “ ____

EXAMPLE 1: If Find

EXAMPLE 2: Use the graph of h(x) below to find the following values. What does y equal when x = -2?

EXAMPLE 2: Use the graph of h(x) below to find the following values. What does y equal when x = 0?

EXAMPLE 2: Use the graph of h(x) below to find the following values. What does y equal when x = 3?

EXAMPLE 2: Use the graph of h(x) below to find the following values. What does y equal when x = 6?

Try these… Use the graph of below to find the following values.

Example 3: Use the set of ordered pairs, table, or mapping to find the following. What does y equal Domain Range when x = 10? 2 8 5 11 10 16

Example 3: Use the set of ordered pairs, table, or mapping to find the following. Domain Range 2 8 5 11 10 16 What does y equal when x = 2?

Example 3: Use the set of ordered pairs, table, or mapping to find the following. What does y equal when x = 0?

Example 3: Use the set of ordered pairs, table, or mapping to find the following. What does y equal when x = 8?

Example 3: Use the set of ordered pairs, table, or mapping to find the following. -5 -4 -1 0 2 3 5 -4 -4 7 0 -8 What does y equal when x = 8?

Example 3: Use the set of ordered pairs, table, or mapping to find the following. -5 -4 -1 0 2 3 5 -4 -4 7 0 -8 What does y equal when x = 3?

A table of values can help you to determine a rule for a linear function. The table below shows the amount that a company charges for bicycle rental for up to 8 hours. An initial deposit is included in the amounts. Write an equation for the function. X Y 1 12 2 16 3 20 4 24 5 28 6 32 7 36 8 40 Look for a pattern in the range > Look for a pattern in the domain > Set it up as a ratio of range to domain > This is your cost per hour (rental fee). $4. 00 per hour

A table of values can help you to determine a rule for a linear function. The table below shows the amount that a company charges for bicycle rental for up to 8 hours. An initial deposit is included in the amounts. Write an equation for the function. X 1 Y $4. 00 per hour 12 2 16 3 20 4 24 5 28 6 32 7 36 8 40 If the total cost to rent the bike for 1 hour is $12, and it cost ______ per hour, your initial deposit must have been ____.

The table below shows the amount that a company charges for a raft rental for up to 10 hours. An initial deposit is included in the amounts shown. Write an equation for the function. 1 2 3 4 5 6 7 8 9 10 Rental cost in dollars, f(x) 15 20 25 30 35 40 45 50 55 60 Time in hours, x If the total cost to rent the raft for 1 hour is $15, and it cost $5 per hour, your initial deposit must have been… Total cost = cost per hour + deposit

The equation shows the costs associated with being a member of a DVD club that charges a membership fee. x = the number of CDs purchased and = the total cost How much is the membership fee? What is the cost per DVD?

The equation shows the costs associated with being a member of a DVD club that charges a membership fee. x = the number of CDs purchased and = the total cost Linear equations contain an independent variable and a dependent variable. The total cost depends on the number of CD purchased x. dependent is called the ________ variable. independent variable is called the ________

On a graph, horizontal the independent variable is on the ________ axis vertical and dependent variable is on the ________ axis. dependent independent

The table below shows the amount that a company charges for bicycle rental for up to 8 hours. 1. List the domain and range. 2. Write an equation for the function. 3. Graph the function. Time in hours, x 1 2 3 4 5 6 7 8 Rental cost in dollars, f(x) 12 16 20 24 28 32 36 40 Domain: Range:

40 30 20 10 1 2 3 4 5 6 7 8