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Review Unit 5

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Review Unit 5

Algebra I

- 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

- Ordered Pairs (3,6)(5,3)(3,-3)
- TableGraph.
.

- Mapping.
3 6

5 3

-3

- 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.

- 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

- 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.