5.3: Function Rules, tables, and Graphs
Ex. 1) Model the function rule f(x) = 3x + 4 with a table of values and a graph.
Step 1: Make a table by choosing input values (x values)
x
f(x) = 3x + 4
(x, f(x))
Step 2: Plot points for the ordered pairs
Step 3: Join points to form a line
Continuous data: data where numbers between any two data values have meaning. Use a solid line to indicate continuous data
Ex: measurement of temperature, length, or weight
Discrete data: data that involves a count of items. For discrete data, indicate each data item with a point
Ex: number of people or number of cars
Ex. 2) At the local video store, you can rent a video game for $3. It costs you $5 a month to operate your video game player. The total monthly cost C(v) depends on the number of video games, v, you rent. Use the function rule C(v) = 5 + 3v to make a table of values and a graph.
v
C(v) = 5 + 3v
(v,C(v))
What type of data set is this?:
Discrete Continuous
Ex. 3) At a ball game, they charge $2 for a hot dog. The function C(h) = 2h describes the cost of h hot dogs. Use the points for each input value. h
C(h) = 2h
(h, C(h))
What type of data set is this?:
Discrete
Continuous
Give three examples of both discrete and continuous data:
Discrete
Continuous
Ex. 4) Graph each of the following functions by making a table first:
a) f(x) = x 2
b) f(x) = x + 1
Homework Questions?