Compare Linear Exponential and Quadratic Models Identifying from
- Slides: 17
Compare Linear, Exponential, and Quadratic Models
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 = 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 or ∩ Rises or falls quickly in one direction
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 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 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 -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. 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 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) 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 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, exponential, and quadratic growth
- Linear quadratic and exponential models
- Difference between linear and exponential graph
- Examples of linear quadratic and exponential functions
- Adjective
- Identifying and non identifying adjective clauses
- Information essential
- Identifying exponential growth and decay
- Lesson 8 homework practice quadratic functions
- Quiz 8-1 graphing quadratic equations
- Example of quadratic inequality graph
- Identifying quadratic functions
- Who invented geocentric theory
- Logarithmic curve fitting
- Modals and semi modals difference
- Domain of a parabola
- Identify linear functions
- Standard linear equation