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# Algebra 1 Part 2 Chapter 4 Relations and Functions

## Presentation on theme: "Algebra 1 Part 2 Chapter 4 Relations and Functions"— Presentation transcript:

Algebra 1 Part 2 Chapter 4 Relations and Functions

RELATIONS EQUATIONS FUNCTIONS SEQUENCE 100 100 100 100 200 200 200 200 300 300 300 300 400 400 400 400 500 500 500 500 EXIT

Make a table for {(-1,6), (2,3), (4,-5), (-3,3)}
-2 - (-5) = 3 A100

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Answer: x y -1 6 2 3 4 -5 -3 -2 - (-5) = 3 Click here to return to the Board Answer A100

Give the inverse of the relation {(-3,5),(4,-1),(2,-5),(-3,-1),(0,-2)}
4(11+7) - (9)(8) - 2 = = -2 A200

Answer: {(5,-3),(-1,4),(-5,2),(-1,-3),(-2,0)}
5(-3)(-2)(-2) = Click here to return to the Board A300

Make a mapping for {(-3,9),(-2,4),(-1,1), (0,0),(3,9)}
5(-3)(-2)(-2) = A300

Answer: see student’s answers
5(-3)(-2)(-2) = Click here to return to the Board A300

List the 5 ways to represent a relation
2(-3) + (-7 - 4) +32 = (-11) + 9 = = - 8 A400

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Answer: A set of ordered pairs Table Mapping Graph Equation 2(-3) + (-7 - 4) +32 = (-11) + 9 = = - 8 Click here to return to the Board A400

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. -4m + 2(n - 3m) = -7m + 2n A500

Weight calories burned 100 400 110 440 120 480 130 520
-4m + 2(n - 3m) = -7m + 2n Click here to return to the Board A500

Find the solution set for y=2x -1 given the replacement set {(-2,-5),(0,1),(1,-3),(3,5)}
9/8 = 1 1/8 B100

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Answer: {(-2,-5),(3,5)} 9/8 = 1 1/8 Click here to return to the Board B100

Solve for y: 3x + 4y = -8 10/24 = 5/12 B200

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Answer:  10/24 = 5/12 Click here to return to the Board B200

Solve x-y=8 if the domain is {-4,-2,0,2,4}
14/3 = 4 2/3 B300

Answer: {(-4,-12),(-2,-10),(0,-8),(2,-6),(4,-4)}
-1/2, 1/2, 3/5, 9/10 Click here to return to the Board B400

List the 2 forms of a linear equation?
-1/2, 1/2, 3/5, 9/10 B400

Answer: standard form: Ax + By = C slope-intercept form: y = mx + b
-1/2, 1/2, 3/5, 9/10 Click here to return to the Board B400

Change to proper standard form:
10/8 = 1 1/4 B500

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Answer: 2x - 3y = 6 10/8 = 1 1/4 Click here to return to the Board B500

Is {(-2,1),(-1,8),(8,-2),(0,1),(1,-1)} a function? Why? or Why not?
7x + 11y C100

Answer: yes, all domain values are paired with only one range value
7x + 11y C100

Is this a function? Why? Or Why not?
-2 2 4 3 5 -1 32 + 4y C200

Answer: Yes, all domain values are paired with only one range value
Click here to return to the Board C200

Is x=2y2 -3 a function? Why? or Why not?
2h + ah C300

Answer: no, the y value can’t be squared
Click here to return to the Board C400

If f(x) = x2 - x find f(-3) 22 - 3d C400

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Answer: f(-3) = 12 22 - 3d Click here to return to the Board C400

If g(x) =x2 -2x + 3 find g(5p) 6 - 2b C500

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Answer: 25p2 - 10p + 3 6 - 2b Click here to return to the Board C500

Is -3, -1, 1, 3, 5 . . . an arithmetic sequence? If yes, what is the pattern?
D100

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Answer: yes, (add 2) 2y - 6 Click here to return to the Board D100

Find the next 3 terms of the arithmetic sequence: 8, 5, 2, -1 . . .
Commutative D200

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Answer: -4, -7, -10 Commutative Click here to return to the Board D200

Find the next 3 terms in the sequence: 10, 6, 11, 7, 12, 8 . . .

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Answer: 13, 9, 14 20/x + 10 Click here to return to the Board D300

Find the next three terms in the sequence: 19, 14, 8, 1 . . .
Associative D400

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Answer: -7, -16, -26 Associative Click here to return to the Board D400

Find the next three terms in the sequence: x, 4x - 1, 9x - 2, 16x - 3 . . .
White Sox D500

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Answer: 25x - 4, 36x - 5, 49x - 6 White Sox Click here to return to the Board D500

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