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Evaluate Relations as a Function

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Understanding Functions

Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function.
i. {(3, 4), (5, 9), (9, 9), (2, 3)}
ii. {(0, 0), (0, 1), (1, 4), (2, 4)}
iii. {(2, 1), (4, 5), (8, 4), (1, 0)}
iv. {(8, 3), (8, 0), (7, 7), (4, 7)}

Solve the Point-Slope Form of the Equation of a Line

For each line, use the given conditions to write an equation in the point-slope form and the slope-intercept form.
i. Slope = 4, passing through (1, 3)
ii. Slope = 8, passing through (4, -1)
iii. Slope = -5, passing through (-4, -2)
iv. Slope = -2, passing through (0, -3)

Determine whether the given function is even, odd, or neither:
1. f(x) + 5x + x
2. f(x) = x - 5x

Find the slope of the line that goes through the following points:
1. (-4, 6) , (-8, 6)
2. (-1, 1) , (-2, -5)

Find the domain and range of:
1. {(7, -2) , (-6, -4) , (-9, -9) , (-5, -5) , (6, 6)}

Determine the slope m and the y-intercept for:
y + 9 = 0

Evaluate:
1. f(x) = 3x - 4x - 3 at f(x - 1)
2. f(x) = -5x + 8 at f(-3)

The following relation is a function, true or false:
1. {(-3, -4) , (3, 3) , (5, -6) , (8, 1) , (11, -5)}

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Solution Summary

Determine whether each relation is a function.

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Understanding Functions

Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function.

i. {(3, 4), (5, 9), (9, 9), (2, 3)} not a function
ii. {(0, 0), (0, 1), (1, 4), (2, 4)} not a function
iii. {(2, 1), (4, 5), (8, 4), (1, 0)} function
iv. {(8, 3), (8, 0), (7, 7), (4, 7)} not a function

A relation is considered a function if it is a one-to-one mapping. That is, the x-values cannot appear twice and so as the y-values.

Solve the Point-Slope Form of the Equation of a Line

For each line, use the given conditions to ...

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