Review unit 5
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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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Review unit 5

Review Unit 5

Algebra I


Vocabulary

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


Representing relations

Representing Relations

  • Ordered Pairs (3,6)(5,3)(3,-3)

  • TableGraph.

    .

  • Mapping.

    3 6

    5 3

    -3


Direct and inverse variation

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.


Direct and inverse variation1

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


Zeros of a function

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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