Algebra 1 Part 2 Chapter 4 Relations and Functions.

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Algebra 1 Part 2 Chapter 4 Relations and Functions

Transcript of Algebra 1 Part 2 Chapter 4 Relations and Functions.

Page 1: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Algebra 1 Part 2 Chapter 4

Relations and Functions

Algebra 1 Part 2 Chapter 4

Relations and Functions

Page 2: Algebra 1 Part 2 Chapter 4 Relations and Functions.

100 100RELATIONS EQUATIONS FUNCTIONS SEQUENCE

200 200300 300400 400

100 100200 200300 300400 400

EXIT

500 500 500500

Page 3: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Make a table for{(-1,6), (2,3), (4,-5), (-3,3)}Make a table for{(-1,6), (2,3), (4,-5), (-3,3)}

A100

Page 4: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:x y

Answer:x y

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Answer A100

-1 6

2 3

4 -5

-3 3

Page 5: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Give the inverse of the relation

{(-3,5),(4,-1),(2,-5),(-3,-1),(0,-2)}

Give the inverse of the relation

{(-3,5),(4,-1),(2,-5),(-3,-1),(0,-2)}

A200

Page 6: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:{(5,-3),(-1,4),(-5,2),(-1,-3),(-2,0)}

Answer:{(5,-3),(-1,4),(-5,2),(-1,-3),(-2,0)}

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A300

Page 7: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Make a mapping for {(-3,9),(-2,4),(-1,1), (0,0),(3,9)}

Make a mapping for {(-3,9),(-2,4),(-1,1), (0,0),(3,9)}

A300

Page 8: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:see student’s

answers

Answer:see student’s

answers

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A300

Page 9: Algebra 1 Part 2 Chapter 4 Relations and Functions.

List the 5 ways to represent a relation

List the 5 ways to represent a relation

A400

Page 10: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer: 1. A set of ordered pairs 2. Table 3. Mapping 4. Graph 5. Equation

Answer: 1. A set of ordered pairs 2. Table 3. Mapping 4. Graph 5. Equation

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A400

Page 11: Algebra 1 Part 2 Chapter 4 Relations and Functions.

A person playing tennis uses 4 calories per hour for every pound he or she weighs. Make a table to show the

relationship between weight and calories burned in one hour for people weighing

100, 110, 120 and 130 pounds.

A person playing tennis uses 4 calories per hour for every pound he or she weighs. Make a table to show the

relationship between weight and calories burned in one hour for people weighing

100, 110, 120 and 130 pounds.

A500

Page 12: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Weight calories burned100 400110 440120 480130 520

Weight calories burned100 400110 440120 480130 520

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A500

Page 13: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Find the solution set for y=2x -1given the replacement set{(-2,-5),(0,1),(1,-3),(3,5)}

Find the solution set for y=2x -1given the replacement set{(-2,-5),(0,1),(1,-3),(3,5)}

B100

Page 14: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:{(-2,-5),(3,5)}

Answer:{(-2,-5),(3,5)}

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B100

Page 15: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Solve for y:3x + 4y = -8Solve for y:

3x + 4y = -8

B200

Page 16: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:

Answer:

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B200

y =−3

4x − 2

Page 17: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Solve x-y=8 if the domain is{-4,-2,0,2,4}

Solve x-y=8 if the domain is{-4,-2,0,2,4}

B300

Page 18: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:{(-4,-12),(-2,-10),(0,-8),(2,-6),(4,-4)}

Answer:{(-4,-12),(-2,-10),(0,-8),(2,-6),(4,-4)}

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B400

Page 19: Algebra 1 Part 2 Chapter 4 Relations and Functions.

List the 2 forms of a linear equation?

List the 2 forms of a linear equation?

B400

Page 20: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer: standard form: Ax + By = C

slope-intercept form: y = mx + b

Answer: standard form: Ax + By = C

slope-intercept form: y = mx + b

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B400

Page 21: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Change to proper standard

form: Change to proper standard

form:

B500

y + 2 =2

3x

Page 22: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:

2x - 3y = 6Answer:

2x - 3y = 6

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B500

Page 23: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Is {(-2,1),(-1,8),(8,-2),(0,1),(1,-1)}

a function?Why? or Why not?

Is {(-2,1),(-1,8),(8,-2),(0,1),(1,-1)}

a function?Why? or Why not?

C100

Page 24: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:yes, all domain

values are paired with only one range

value

Answer:yes, all domain

values are paired with only one range

value

C100

Page 25: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Is this a function? Why? Or Why not?Is this a function? Why? Or Why not?

C200

-2 2

4 3

0 3

5 -1

Page 26: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:Yes, all domain values

are paired with only one range value

Answer:Yes, all domain values

are paired with only one range value

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C200

Page 27: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Is x=2y2 -3 a function?

Why? or Why not?

Is x=2y2 -3 a function?

Why? or Why not?

C300

Page 28: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:

no, the y value can’t be squared

Answer:

no, the y value can’t be squared

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C400

Page 29: Algebra 1 Part 2 Chapter 4 Relations and Functions.

If f(x) = x2 - xfind f(-3)

If f(x) = x2 - xfind f(-3)

C400

Page 30: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:f(-3) = 12

Answer:f(-3) = 12

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C400

Page 31: Algebra 1 Part 2 Chapter 4 Relations and Functions.

If g(x) =x2 -2x + 3find g(5p)

If g(x) =x2 -2x + 3find g(5p)

C500

Page 32: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:25p2 - 10p + 3

Answer:25p2 - 10p + 3

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C500

Page 33: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Is -3, -1, 1, 3, 5 . . . an arithmetic sequence?

If yes, what is the pattern?

Is -3, -1, 1, 3, 5 . . . an arithmetic sequence?

If yes, what is the pattern?

D100

Page 34: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:

yes, (add 2)

Answer:

yes, (add 2)

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D100

Page 35: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Find the next 3 terms of the arithmetic sequence:

8, 5, 2, -1 . . .

Find the next 3 terms of the arithmetic sequence:

8, 5, 2, -1 . . .

D200

Page 36: Algebra 1 Part 2 Chapter 4 Relations and Functions.

Answer:

-4, -7, -10

Answer:

-4, -7, -10

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D200

Page 37: Algebra 1 Part 2 Chapter 4 Relations and Functions.

D300

Find the next 3 terms in the sequence:

10, 6, 11, 7, 12, 8 . . .

Find the next 3 terms in the sequence:

10, 6, 11, 7, 12, 8 . . .

Page 38: Algebra 1 Part 2 Chapter 4 Relations and Functions.

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D300

Answer:

13, 9, 14

Answer:

13, 9, 14

Page 39: Algebra 1 Part 2 Chapter 4 Relations and Functions.

D400

Find the next three terms in the sequence:

19, 14, 8, 1 . . .

Find the next three terms in the sequence:

19, 14, 8, 1 . . .

Page 40: Algebra 1 Part 2 Chapter 4 Relations and Functions.

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D400

Answer:

-7, -16, -26

Answer:

-7, -16, -26

Page 41: Algebra 1 Part 2 Chapter 4 Relations and Functions.

D500

Find the next three terms in the sequence:

x, 4x - 1, 9x - 2, 16x - 3 . . .

Find the next three terms in the sequence:

x, 4x - 1, 9x - 2, 16x - 3 . . .

Page 42: Algebra 1 Part 2 Chapter 4 Relations and Functions.

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D500

Answer:

25x - 4, 36x - 5, 49x - 6

Answer:

25x - 4, 36x - 5, 49x - 6