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Review Unit 5

Review Unit 5 . Algebra I. Vocabulary. Relation – a set of ordered pairs Function – a relation where the x does not repeat Direct Variation – y varies directly with x. y = kx Inverse Variation – y varies inversely with x. xy =k Domain – x values Range – y values

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Review Unit 5

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  1. Review Unit 5 Algebra I

  2. Vocabulary • Relation – a set of ordered pairs • Function – a relation where the x does not repeat • Direct Variation – y varies directly with x. y = kx • Inverse Variation – y varies inversely with x. xy=k • Domain – x values • Range – y values • k – constant of variation

  3. Representing Relations • Ordered Pairs (3,6)(5,3)(3,-3) • TableGraph. . • Mapping. 3 6 5 3 -3

  4. Direct and Inverse Variation • When y varies directly with x, x = 4 and y = 12, find x when y = 20. • When y varies inversely with x, x = 8 and y = 3, find y when x = 48.

  5. Direct and Inverse Variation • When y varies directly with x, x = 4 and y = 12, find x when y = 96. y = kx 12 = k(4) 96 = 3x k = 3 x = 32 **Equation y = 3x • When y varies inversely with x, x = 8 and y = 3, find y when x = 48. xy = k 8(3) = k 48y = 24 k = 24 y = ½ **Equationxy = 24

  6. Zeros of a Function • Where the line crosses the x axis • Two ways to determine: • Graph in the calculator, look at the table and see where the y value is zero, the corresponding x value is the answer. • Set the f(x) or y = to zero, then solve the resulting equation for x.

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