1. Unit 4: Functions
Final Exam Review

2. Topics to Include Linear Input/Output Quadratic Input/Output
Linear Regression
Quadratic Regression
Exponential Regression
Correlation/R2

3. Linear Input/Output Input – the numbers PLUGGED IN to an equation
Output – the ANSWER you get after plugging in a number
To finish the table, follow the rule
Example: Rule: Add 4 

4. Linear Input/Output
You Try!
1. Subtract Add 4

5. Linear Input/Output You can also fill in a table based on an EQUATION
Plug in the X VALUE to find the Y value.
Example: y = 3x – 2 

6. Linear Input/Output
You Try!
1. y = x y = 4x + 1

7. Quadratic Input/Output
Quadratic Function: 𝒂𝒙 𝟐 +𝒃𝒙+𝒄
A quadratic function is shaped like a U and is called a PARABOLA
Example: 𝑥 2 +2𝑥+3 

8. Quadratic Input/Output
You Try!
1. 𝑥 𝑥 2 −3𝑥+2

9. Linear Regression
Linear Regression lines follow a STRAIGHT LINE pattern.
To find the linear regression
1. Plug in table to your calculator (STAT  EDIT)
2. Click STAT and then go over to CALC and choose LINREG
Hit ENTER. The calculator will give you the linear regression in the format y = mx + b

10. Linear Regression
Example:
Answer: y = 1.05x

11. Linear Regression
You Try!

12. Quadratic Regression
Quadratic Regression lines follow a U SHAPED pattern.
To find the quadratic regression
1. Plug in table to your calculator (STAT  EDIT)
2. Click STAT and then go over to CALC and choose QUADREG
Hit ENTER. The calculator will give you the linear regression in the format y = ax2 + bx + c

13. quadratic Regression
Example:
Answer: y = 0.02x2 – 1.36x

14. Quadratic Regression
You Try!

15. exponential Regression
Exponential Regression lines will either display exponential GROWTH or exponential DECAY.
To find the exponential regression
1. Plug in table to your calculator (STAT  EDIT)
2. Click STAT and then go over to CALC and choose EXPREG
Hit ENTER. The calculator will give you the linear regression in the format y = a ∙ bX

16. exponential Regression
Example:
Answer: y = 5 ∙ 2x

17. Exponential Regression
You Try!

18. Correlation/r2
Correlation – how STRONG or how WEAK a regression line is
If the correlation/R2 value is close to 1, the regression line is STRONG
If the correlation/R2 value is close to 0, the regression line is WEAK

19. Correlation/r2 Example:
Determine if the regression line for each data set is strong or weak.
1. Linear Regression Quadratic Regression
R2 =  Close to 1  STRONG R2 =  Close to 0  WEAK

20. Correlation/r2
You Try!
Exponential Regression
Linear Regression

21. ALL DONE