1. Graphing A Function Rule
Lesson 4-4

2. To graph a function rule:
Choose 3-5 numbers for x (unless the domain is given to you.)
Complete a function table to find values for y.
Graph the resulting ordered pairs.

3. A y = 2x + 4 x
2x + 4 y -2
2(-2) + 4 -1 2
2(-1) + 4
2(0) + 4 4 1
2(1) + 4 6
Complete the function table with points chosen for “x”
Plot the points
Connect with a line

4. B. x
2x + 4 y -2 3 -1
3.5 4 1
4.5
Complete the function table with points chosen for “x”
Plot the points
Connect with a line

5. x y -2 -1 -1 -2 1 -1 2
Complete the function table with points chosen for “x”
Plot the points
Connect with a line
This is an absolute value function. It is V-shaped

6. -2 -2 -1 1 2 1 1 2 -2
Complete the function table with points chosen for “x”
Plot the points
Connect with a line
This is a quadratic function because of the x2. Quadratic functions are U-shaped. This one opens downward because the x2 is negative.

7. A ____________________ graph is a graph that is unbroken.
A ___________________ graph is composed of distinct isolated points.
continuous
discrete
NOTE: All of the graphs in this lesson have been continuous graphs.
Determine if the examples below are discrete or continuous graphs. Explain your reasoning.
E The number of bagels b remaining in a dozen depends
on the number s that have been sold.
F The amount of gas g remaining in the tank of a gas grill
depends on the amount of time t the grill has been used.
This is a discrete graph. Each bagel is sold separately, but you can only by whole bagels.
This is a continuous graph. Gas consumption does not have to be in integer units.