# Review Unit 5 - PowerPoint PPT Presentation

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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

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

• k – constant of variation

### Representing Relations

• Ordered Pairs (3,6)(5,3)(3,-3)

• TableGraph.

.

• Mapping.

3 6

5 3

-3

### 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 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

• 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.