Matching Equations and Graphs

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Presentation transcript:

Matching Equations and Graphs 4.4

Page 183

Example 1 Match the equations to the graphs. Find at THREE points for each graph. y = 3x + 3 x + y = 3 y = 3x - 3

Example 2 Match the equations to the graphs. Find at THREE points for each graph. y = x y = 2x y = -3x

Example 3 Which graph on this grid has the equation y = 3x – 4?

Using Graphs to Estimate Values 4.5 4.4-4.5 Quiz Coming Soon!

Review

Example 1 How much does 2L cost? The following graph shows the relation between the cost of soda and the amount purchased. How much does 2L cost?

Definition Interpolation – _________________ values that lie between 2 data points on a graph.

Example 1 How much does 8L cost? The following graph shows the relation between the cost of soda and the amount purchased. How much does 8L cost?

Definition Extrapolation – Estimating values that lie ____________ data points on a graph.

Example 2 Teacher’s Popularity

Example 3 What is the distance travelled at 1.5 hours? How long will it take to travel 300 km? How long would it take to travel 450 km?

Example 3 What is the distance travelled at 1.5 hours? How long will it take to travel 300 km? How long would it take to travel 450 km?

Remember… 1) We are assuming the pattern remains the same. 2) Interpolation and Extrapolation give us estimations and not exact values.

Unit 4 Review Study Guide: Determine expressions from problems Express data in four different ways: Table, graph, words and expression For graph you must have axis labels with units, title Use expressions to solve problems Match graphs to equations Extrapolate and Interpolate Page 201: #1, 4, 8 (graph on one graph), 13, 14