4.4 Graphing a Function Rule
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Transcript 4.4 Graphing a Function Rule
4.4 Graphing a
Function Rule
{
I can graph equations that represent functions.
Graphing a Function Rule
A graph is the set of all solutions to an
equation.
When a graph shows a real-world
relationship, it only shows points that
make sense for the given situation
How to Graph
Create a table of values
Plot the ordered pairs
Connect the points with a line to show
ALL solutions
Ex: graph the function rule y = -2x + 1
Real-World Functions
Choose appropriate intervals for the
units on the axes.
If all data are nonnegative, show only
the first quadrant.
Plot only points that make sense in
context.
You try!
Graph the equation by creating a table of
values:
y=
1
𝑥
2
−1
Practice
Megan buys eggs at the supermarket for
$1.75 per carton. The cost is a function of
the number of cartons bought. What is
the graph of the function?
Graph
Continuous vs. Discrete
A continuous graph is a graph that is
unbroken
A discrete graph is composed of distinct,
isolated points.
Identifying
The function rule W = 8g + 700
represents the total weight W, in
pounds, of a spa that contains g gallons
of water. Its capacity is 250 gallons. What
is a reasonable graph?
Is this continuous or discrete?
Assignment
ODDS ONLY
P. 257 #9-31