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Algebra 1 Part 2 Chapter 4 Relations and Functions

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100 RELATIONSEQUATIONSFUNCTIONSSEQUENCE 200 300 400 100 200 300 400 EXIT 500

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

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

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Give the inverse of the relation {(-3,5),(4,-1),(2,-5),(-3,-1),(0,-2)} A200

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

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

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Answer: see students answers Click here to return to the Board A300

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List the 5 ways to represent a relation A400

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Answer: 1. A set of ordered pairs 2. Table 3. Mapping 4. Graph 5. Equation Click here to return to the Board A400

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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

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Weight calories burned 100 400 110 440 120 480 130 520 Click here to return to the Board A500

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

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Answer: {(-2,-5),(3,5)} Click here to return to the Board B100

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Solve for y: 3x + 4y = -8 B200

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Answer: Click here to return to the Board B200

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

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

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List the 2 forms of a linear equation? B400

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Answer: standard form: Ax + By = C slope-intercept form: y = mx + b Click here to return to the Board B400

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Change to proper standard form: B500

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Answer: 2x - 3y = 6 Click here to return to the Board B500

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Is {(-2,1),(-1,8),(8,-2),(0,1),(1,-1)} a function? Why? or Why not? C100

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Answer: yes, all domain values are paired with only one range value C100

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Is this a function? Why? Or Why not? C200 -2 2 4 3 0 3 5

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

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Is x=2y 2 -3 a function? Why? or Why not? C300

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Answer: no, the y value cant be squared Click here to return to the Board C400

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If f(x) = x 2 - x find f(-3) C400

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

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

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

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

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

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

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

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D300 Find the next 3 terms in the sequence: 10, 6, 11, 7, 12, 8...

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Click here to return to the Board D300 Answer: 13, 9, 14

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

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

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

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

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