Compare Linear Exponential and Quadratic Models Identifying from

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Compare Linear, Exponential, and Quadratic Models

Compare Linear, Exponential, and Quadratic Models

Identifying from an equation: Linear y = mx + b Has an x with

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

LINEAR, QUADRATIC or EXPONENTIAL? 1. y = 6 x + 3 Exponential 2. y

LINEAR, QUADRATIC or EXPONENTIAL? 1. y = 6 x + 3 Exponential 2. y = 7 x 2 +5 x – 2 Quadratic 3. 9 x + 3 = y Linear 4. 42 x = 8 Exponential

Identifying from a graph: Linear Quadratic Exponential Makes a straight line Makes a U

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

LINEAR, QUADRATIC or EXPONENTIAL? 5. Quadratic 7. 6. Exponential 8. Linear None of the

LINEAR, QUADRATIC or EXPONENTIAL? 5. Quadratic 7. 6. Exponential 8. Linear None of the above Ab. Value

Identifying from the Table Linear • Y values don’t repeat • Add or subtract

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

Identifying from the Table Linear -2 -2 -1 1 0 4 1 7 2

Identifying from the Table Linear -2 -2 -1 1 0 4 1 7 2 10 +3 +3 Quadratic -2 -6 -1 -6 0 -4 1 0 2 6 +0 +2 +2 +2 +4 +2 +6 +2 Exponential -2 0. 08 -1 0. 4 0 2 1 10 2 50 x 5 x 5

LINEAR, QUADRATIC or EXPONENTIAL? 9. 10. x y -5 -2 -2 1 -4 -1

LINEAR, QUADRATIC or EXPONENTIAL? 9. 10. x y -5 -2 -2 1 -4 -1 -4 2 -1 0 -8 3 4 1 -16 4 11 3 -32 x y 0 Quadratic Exponential

LINEAR, QUADRATIC or EXPONENTIAL? 11. 12. x y 5 1 2 9 3 13.

LINEAR, QUADRATIC or EXPONENTIAL? 11. 12. x y 5 1 2 9 3 13. x y 0 1 3 2 -1 2 9 13 3 0 3 27 4 17 4 3 4 81 5 21 5 8 5 243 x y 1 Linear Quadratic Exponential

The table describes how a restaurants sales are changing over time. 14) a) What

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

The table describes how a clothing stores sales are changing over time. 15) a)

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

The table describes the cost to operate a freezer for a course of several

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

Compare Linear, Quadratic & Exponential Functions - HW

Compare Linear, Quadratic & Exponential Functions - HW