This document contains information about functions and function notation. It defines discrete and continuous data, and provides examples of each. It discusses how to identify functions from graphs and equations, and outlines the function notation f(x). It provides examples of applying the function notation by substituting values into functions. Finally, it presents practice problems identifying functions from graphs and evaluating functions.

1. 7

2. 2. Simplify: -3(5x - 3) -2(6x - 6)
3. Find the length & width:
x
P = 68
2x + 10
4. Solve for b: A = ½b • h

3. Vocabulary:
1. Discreet Data: Data that has a limited number of
values, with space between each value. Usually whole
numbers.
2. Continuous Data: Data with values that vary
continuously over the graph. Data that is unbroken by
space between values.
Examples:
1. The number of suitcases lost by an airline:
2. The growth of corn plants:
3. The number of ears of corn harvested.

5. function
Not a function
Not a function
function
……….

6. Graphing from an Equation
-2
-1
0
1
2

7. Function Rules

8. ……….

10. ……….

11. Function Notation: f(x)..g(x)..h(x)
is a function of
Since x can be any number, the f(x) is the output, (the
dependent variable), when a number is substituted for x.

12. Practice
Steps
1. Sub in each domain value in one @ a time.
2. Solve for y in each
3. List y values in braces.

13. H
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g
h
t
P
e
o
p
l
e
C
o
s
t
S
p
e
e
d
H
e
i
g
h
t
S
p
e
e
d
A. Cost of a laptop, past 10 years B. Drag racing before hitting tree
C. World Population, last 700 years D. Person's height during lifetime
E. 3-point shot
F. Running up, then down a hill

16. 1a. Domain: {-4, -2, 3, 4} Range: {-2, 2, 1}
1b. Domain: {0, 1, 7} Range: {-6, 2, -4, 4}
2a.
2b.
Function
Not a Function
3a.
3b.
-4
-2
3
4
-1
2
1
0
1
7
-6
2
-4
4
Not a
Function

18. y = -3x + 2
y = -3(-1) + 2
y=3+2
y=5