2.7 Absolute Value Functions

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Presentation transcript:

2.7 Absolute Value Functions Learning Goals graph absolute value functions

Characteristics of Absolute Value Functions shaped like a “V” symmetrical about a vertical line called the axis of symmetry domain is range is connected to the vertex, which is a minimum or maximum value

vertex : where the function reaches its maximum or minimum. To find the x-value of the vertex, set what’s inside the absolute value equal to 0.

Ex 1 Graph

Ex 2 Graph 𝑦=−2 𝑥− 1 2

Ex 3 Graph

Ex 4 Graph 2𝑦+4= 1 2 |𝑥+1|

Ex 5 Consider How can an absolute value function extend below the x-axis if the absolute value of a quantity is always positive? Is the graph of a function?