1.2 Exploring Absolute Value
Unit 1 – Functions: Characteristics and Properties
MHF 4U1: Advanced Functions
Minds On:
1. Evaluate |-5+3|
2. Evaluate
3. Which of the following transformations occur in the following: f(x) = |3x – 3|?
4. The absolute value function, f(x) = |x|, has:
5. Which equation represents the following graph?
Action:
The Absolute Value Function, f(x) = |x|, can be graphed on a set of axes (a) or on a number line (b).
a.
b.
|x|
3
|x| > 2
Note: When graphing on a number line, if a number is included in the solution set use a solid dot. If
the number is not included use an open dot at that value.
Example 1: Express each of the following in absolute value notation.
i.
ii.
Example 2: Graph the following on a number line.
i.
|x| < 5
ii.
|x|
Consolidate:
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