1. What are the four different types of functions we have learned about?
Comparing Functions
What are the four different types of functions we have learned about?
1. (hint: makes a line)
2. (hint: makes a parabola)
3. (hint: makes a “v” shape)
4. (hint: growth and decay)

2. Comparing Functions

3. We have learned about 4 main types of functions this year…
Comparing Functions
We have learned about 4 main types of functions this year…
Linear
Exponential
Standard Form
Slope Intercept Form
Quadratic
Absolute Value
Standard Form
Vertex Form

4. What to Look for… Linear x is to the 1st power y is to the 1st power
NO Exponents!

5. What to Look for… Quadratic x is always squared: 𝑥 2 (degree of 2)
y is NOT squared (degree 1)

6. What to Look for… Absolute Value There are absolute value bars.
x is inside the absolute value bars.
y is NOT inside the absolute value bars.

7. What to Look for… Exponential x is in the exponent position
y is NOT in the exponent position

8. Comparing Functions
Identify each function as linear, quadratic, absolute value, or exponential.

9. Comparing Functions
Identify each function as linear, quadratic, absolute value, or exponential.

10. Comparing Functions
Another way to determine the type of function is to look at patterns in data (x-y charts)
NOTE: you must make sure the x-values are increasing by the same number FIRST!

11. Comparing Functions LinearX 1 2 3 4 5 6 Y -4 -2
1st make sure the x-values increase by the same value
y-values will increase/decrease by the same value

12. Comparing Functions Exponential2 4 6 8 10 12 Y 1 16 64
256
1024
1st make sure the x-values increase by the same value
y-values are multiplied or divided by the same number each time

13. Comparing Functions Absolute ValueX -4 -3 -2 -1 Y 15 11 7
1st make sure the x-values increase by the same value
y-values will decrease by the same amount going one way, and then increase by the same amount going the other way
two slopes that are opposite, meet at the vertex

14. Comparing Functions QuadraticX -4 -3 -2 -1 Y 23 11 7
1st make sure the x-values increase by the same value
there is an underlying pattern between the second differences
y-values go up and then down (or down and then up), and has a vertex

15. Comparing Functions
Identify each function as linear, quadratic, absolute value, or exponential. X -2 -1 1 2 Y 27 9 3
1/3 X -2 -1 1 2 Y 4

16. Comparing Functions
Identify each function as linear, quadratic, absolute value, or exponential. X -2 -1 1 2 Y 4 6 8 10 12 X -2 -1 1 2 Y 7 5 3

17. Comparing Functions
Identify each function as linear, quadratic, absolute value, or exponential. X 1 3 4 6 Y 12 16 24

18. Comparing Functions
If all else fails, and you don't remember the rules when taking the EOC, SKETCH A GRAPH on your graph paper.