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200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Vocabulary Inequalities Equations & Slope INT/INQ Graphing Dom/Range Variations
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Domain Range
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X-Values Y-Values
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Direct Variation Graph
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Linear & thru point (0, 0)
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Vertical Line Test
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Test for functions. Can only touch 1 point at a time
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Open Circle
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Used on a Number Line to EXCLUDE from the solution
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Function
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Relation with NO Duplicated x-Values
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3x + 6 < 36
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x < 10
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-3w –4 > 14
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w < -6
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2(x –2) < 3(x – 3)
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x > 5
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3x –(x + 3) < -2
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x < 1/2
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-3x + 5 = 20
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-5
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What is the slope?
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– 3
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8x – 3(2 – 5x) = 40
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2
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-15
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Graph this Equation
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Convert to Interval Notation -2 < x ≤ 4
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(-2, 4]
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Convert to Interval Notation x ≤ -3 or x > 5
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(-∞, -3] U (5, ∞)
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Convert to Inequality Notation [-3, 8)
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-3 ≤ x < 8
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Reaarange this equation to get y = mx + b
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Find Domain & Range Is it a Function? {(-2,3), (4,-1), (5,3)}
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D: {-2,4,5} R: {-1,3} Yes
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Find Domain & Range Is it a Function? {(-1,2),(-3,1),(5,3),(-1,9)}
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D:{-3,-1,5} R: {1,2,3,9} NO
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Domain: {-5,-3,0,2} Range: {-3,-1,1,5} Not a Function
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Light intensity from a source varies inversely with the distance from the source. If the light intensity is 10 ft-candles at 21 feet, what is the light intensity at 12 feet?
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17.5 ft candles
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Sketch a picture of the graph model for Inverse Variation.
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