1. Identifying Linear Functions and Equations
Objective: I can and I will identify a linear function.

2. What is a linear function?
What do we remember about functions?
- A linear function is a function whose graph forms a straight line.

3. Ex. 1) Graph - Is it a linear function?y y x x x

4. Ex. 2) Table - Is it a linear function?Y -3 4 8 3 12 6 16 9 X Y -4 13 -2 1 -3 2 4 X Y -2 7 -1 4 1 2 -5

5. Ex. 3) Ordered Pairs – Is it a linear function?
(2, 4), (5, 3), (8, 2), (11, 1)
(-10, 10), (-5, 4), (0,2), (5, 0)

6. Standard Form of a Linear Equation
Ax + By = C
A, B, and C are real numbers.
A and B are not both 0.
When a linear equation is written in standard form:
x and y both have exponents of 1
x and y are not multiplied together
x and y aren’t denominators, exponents, or radical signs.

7. Is it a Linear Function - Standard Formy
x = 2y + 4 x

8. Ex. 4) Is it a Linear Function - Standard Formy
y = 5x - 9 x

9. Weather…
The National Weather Service releases weather balloons twice daily at over 90 locations in the United States in order to collect data for meteorologists. The height (h) in feet of a balloon is a function the time (t) in seconds after the balloon is released.
Make a table showing the height of a balloon after (t) seconds for t=0 through t=10.
A balloon bursts after a flight of about 7200 seconds. Graph the function and identify the domain and range.

10. Balloon being released…
h=14t + 5

12. Practice
Pg #