1. Compare Linear, Exponential, and Quadratic Models

2. Identifying from an equation:
Linear y = mx + b Has an x with no exponent. y = 5x + 1 y = ½x 2x + 3y = 6
Quadratic y= ax2 + bx + c Has an x2 in the equation. y = 2x2 + 3x – 5 y = x2 + 9 x2 + 4y = 7
Exponential y = abx Has an x as the exponent. y = 3x + 1 y = 52x 4x + y = 13

3. LINEAR, QUADRATIC or EXPONENTIAL?
y = 6x + 3
y = 7x2 +5x – 2
9x + 3 = y
42x = 8
Exponential
Quadratic
Linear
Exponential

4. Identifying from a graph:
Linear Makes a straight line
Quadratic Makes a U or ∩
Exponential Rises or falls quickly in one direction

5. LINEAR, QUADRATIC or EXPONENTIAL?
Exponential
Quadratic
Linear
None of the
above
Ab. Value

6. Identifying from the Table
Linear
Y values don’t repeat
Add or subtract same number on x & y
Quadratic
Y values repeat
2nd difference is the same
Pattern with y values
Exponential
Y values don’t repeat.
Common multiplication pattern

7. Identifying from the Table
Linear -2 -1 1 4 7 2 10
Quadratic -2 -6 -1 -4 1 2 6
Exponential -2
0.08 -1
0.4 2 1 10 50 +3 +0 +2 +4 +6 +2 x5

8. LINEAR, QUADRATIC or EXPONENTIAL?9.
10. x y -5 1 -4 2 -1 3 4 11 x y -2 -1 -4 -8 1
-16 3
-32
Quadratic
Exponential

9. LINEAR, QUADRATIC or EXPONENTIAL?
11.
12.
13. x y 1 5 2 9 3 13 4 17 21 x y 1 2 -1 3 4 5 8 x y 1 3 2 9 27 4 81 5
243
Linear
Quadratic
Exponential

10. The table describes how a restaurants sales are changing over time.
What type of function is represented by the data in the table?
Predict the sales after 8 years?
14)

11. The table describes how a clothing stores sales are changing over time.
What type of function is represented by the data in the table?
Predict the sales after 10 years?
15)

12. The table describes the cost to operate a
The table describes the cost to operate a freezer for a course of several months.
What type of function is represented by the data in the table?
Predict the cost after 5 months.