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3.7 Modeling Linear Functions.notebook 1 November 05, 2015 November 5 th Due Today: Due Next Class: Get Ready: HW 3.7 Delta Math Unit 3: Linear Functions Lesson #: 3.7: Linear Function...Notation 1) Determine if the ordered pair (‐4,3) is a solution of 4x ‐ y = ‐13. 2) Determine if the ordered pair (‐2,‐4) is a solution of 5x ‐ 2y = ‐2. Test on Monday

3.7 Modeling Linear Functions.notebook - …...2014/10/03  · 3.7 Modeling Linear Functions.notebook 2 November 05, 2015 Get Ready 1) Determine if the ordered pair (‐4,3) is a solution

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Page 1: 3.7 Modeling Linear Functions.notebook - …...2014/10/03  · 3.7 Modeling Linear Functions.notebook 2 November 05, 2015 Get Ready 1) Determine if the ordered pair (‐4,3) is a solution

3.7 Modeling Linear Functions.notebook

1

November 05, 2015

November 5th  Due Today: 

Due Next Class: 

Get Ready: 

HW 3.7Delta Math

Unit 3: Linear Functions Lesson #: 3.7: Linear Function...Notation

1) Determine if the ordered pair (‐4,3) is a solution of 4x ‐ y = ‐13.

2) Determine if the ordered pair (‐2,‐4) is a solution  of 5x ‐ 2y = ‐2.

Test on Monday

Page 2: 3.7 Modeling Linear Functions.notebook - …...2014/10/03  · 3.7 Modeling Linear Functions.notebook 2 November 05, 2015 Get Ready 1) Determine if the ordered pair (‐4,3) is a solution

3.7 Modeling Linear Functions.notebook

2

November 05, 2015

Get Ready

1) Determine if the ordered pair (‐4,3) is a solution of 4x ‐ y = ‐13.

2) Determine if the ordered pair (‐2,‐4) is a solution of 5x ‐ 2y = ‐2.

Page 3: 3.7 Modeling Linear Functions.notebook - …...2014/10/03  · 3.7 Modeling Linear Functions.notebook 2 November 05, 2015 Get Ready 1) Determine if the ordered pair (‐4,3) is a solution

3.7 Modeling Linear Functions.notebook

3

November 05, 2015

What happens when...

Let  y =    x + 212

How can we figure this out?

What happens when x = 2?

What will our answer represent?

Page 4: 3.7 Modeling Linear Functions.notebook - …...2014/10/03  · 3.7 Modeling Linear Functions.notebook 2 November 05, 2015 Get Ready 1) Determine if the ordered pair (‐4,3) is a solution

3.7 Modeling Linear Functions.notebook

4

November 05, 2015

What happens when x = 0?

 y =    x + 2 12

What happens when x = - 1?

What happens when x = 100?

What happens when y = 3?

What happens when y = -10?

What happens when y = 100?

Page 5: 3.7 Modeling Linear Functions.notebook - …...2014/10/03  · 3.7 Modeling Linear Functions.notebook 2 November 05, 2015 Get Ready 1) Determine if the ordered pair (‐4,3) is a solution

3.7 Modeling Linear Functions.notebook

5

November 05, 2015

Point (k,‐3) is on the line x ‐ 2y = ‐2. 

What is the value of k?

Page 6: 3.7 Modeling Linear Functions.notebook - …...2014/10/03  · 3.7 Modeling Linear Functions.notebook 2 November 05, 2015 Get Ready 1) Determine if the ordered pair (‐4,3) is a solution

3.7 Modeling Linear Functions.notebook

6

November 05, 2015

There is a way to write out the equation of a line to show that you are always inputting an x‐value

f(x) = 3x ‐1

Function Notation

What x‐value are we putting into the equation

What happens when x = 2? What part of a point does the answer represent?

What is solving for f(x) the same as?

Page 7: 3.7 Modeling Linear Functions.notebook - …...2014/10/03  · 3.7 Modeling Linear Functions.notebook 2 November 05, 2015 Get Ready 1) Determine if the ordered pair (‐4,3) is a solution

3.7 Modeling Linear Functions.notebook

7

November 05, 2015

How can we represent all the points of a function?

Make a XY table f(x) = ‐3x ‐1

x  f(x)  h(x) = (1/3)xx  h(x) 

Page 8: 3.7 Modeling Linear Functions.notebook - …...2014/10/03  · 3.7 Modeling Linear Functions.notebook 2 November 05, 2015 Get Ready 1) Determine if the ordered pair (‐4,3) is a solution

3.7 Modeling Linear Functions.notebook

8

November 05, 2015

How can we represent all the points of a function?

Make a XY table t(x) = 2x + 1

x  t(x)  ‐4x + 2y = 6x   y 

Page 9: 3.7 Modeling Linear Functions.notebook - …...2014/10/03  · 3.7 Modeling Linear Functions.notebook 2 November 05, 2015 Get Ready 1) Determine if the ordered pair (‐4,3) is a solution

3.7 Modeling Linear Functions.notebook

9

November 05, 2015

How can we check if the point (‐5, ‐1) is on the line y = 2x + 11?

How can we find out what happens at x = 4 on the line y = 2x‐9?

What will the answer represent?

How are y = 2x‐9 and f(x) = 2x ‐ 9 different?

Then using f(x) = 2x ‐ 9, how can we determine other points on the line?