5-2 Relations and Functions

Vertical-Line Test

A check to see if any vertical line on a graph passes through more than one value for any given value of x.

Mapping Diagram

A diagram that lists the domain and range, and draws arrows from each input to its given output.

Function

A relation that assigns exactly one output to any input

Relation

Any set of ordered pairs

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Evaluate the function f(x)=5x - 2 for x=-5

[-0.5, 0, 2.7]

Find the range of the function f(x)= |x| - 1 for the domain [-1, 0.5, 3.7]

[-3, 3, 15.8]

Find the range of the function f(x)=4x + 1 for the domain [-1, 0.5, 3.7]

No. Multiple outputs for an input of 3

Is this relation a function? [(3,7), (3,8), (3,-2), (3,4), (3,1)]

Yes, this is a function

Is this relation a function? [(4,2), (1,1), (0,0), (-1,1), (4,2),]

Function Notation

When you use f(x) to indicate outputs.