1. Representation of Functions

2. Table of Contents
8: Warm-Up, Guided Practice
9: What are the four ways to represent a function?

3. Graph!
Video

4. Reflection/Share Out
What do you know about graphing linear equations?

5. Learning Intention/Success Criteria
LI: We are learning the different ways to represent a function SC: I know how to -identify the four representation of functions -move between the four representations of a function -graph and identify ordered pairs -evaluate expressions -evaluate functions from tables, graphs, equations, and context

6. EQ: What are the four ways to represent a function?
5/24/2019

7. Linear Function
The equation of a function representing a straight line.
Slope-Intercept Form
The equation of a line in the form: f(x) = mx + b
slope
Y-intercept

8. Slope
Indicates the steepness of a line
Indicates if the line is tilted uphill or downhill
Represented by the letter “m”
Y-Intercept
The point at which the graph intersects the y-axis
Represented by the letter “b”

9. Four Ways to Represent a Function
1. Symbolical Representation
A function written as an equation
2. Visual Representation
A function drawn as a graph
3. Numerical Representation
A function written as a table or a set of ordered pairs

10. 4. Verbal Representation
A function written in words, often depicting a real world situation

11. Example 1: Using the verbal representation, find the symbolic, visual, and numerical representations
At the Makai parking garage, it costs $5 to bring your car into the garage plus $2 for every hour the car is parked.
Slope: Y-Intercept: Equation: 2 5
y = 2x + 5

12. Hours
Charge 1 2 3 4 5 5 7 9 11 13 15

13. 24 20 16 12
Charge 8 4 1 2 3 4 5 6
Hours

14. Work in your groups to come up with the answers for the slides you are assigned.
You will be presenting your findings to the class upon finishing with your group

15. Period 1
Situation 2: Table 1 Situation 3: Table 2 Situation 4: Table 4 Situation 5: Table 5 Situation 6: Table 6 Situation 7: Table 7 Situation 8: Table 8

16. Period 2
Situation 2: Table 1 Situation 3: Table 2 Situation 4: Table 4 Situation 5: Table 5 Situation 6: Table 6 Situation 7: Table 7 Situation 8: Table 8

17. Period 4
Situation 2: Table 1 Situation 3: Table 1 Situation 4: Table 2 Situation 5: Table 2 Situation 6: Table 4 Situation 7: Table 4

18. Period 6
Situation 2: Table 1 Situation 3: Table 2 Situation 4: Table 4 Situation 5: Table 5 Situation 6: Table 6 Situation 7: Table 7 Situation 8: Table 8