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EOCT Review

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EOCT Review Absolute Value Piecewise Functions Absolute Value Absolute value is defined as the distance from zero. It can never be negative. Other examples of ... – PowerPoint PPT presentation

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Title: EOCT Review


1
EOCT Review
  • Absolute Value
  • Piecewise Functions

2
Absolute Value
Absolute value is defined as the distance from
zero. It can never be negative.
Other examples of absolute value
3
Solving Absolute Value Equations
  • We need to split the equation into a positive and
    a negative expression

4
Practice Problems
5
Answers

6
Solving Absolute Value Inequalities
  • We need to flip the inequality when solving for
    the negative.

7
Practice Problems
8
Answers

9
Evaluating Piecewise Functions
  • Piecewise functions are defined by at least two
    equations, each of which has a specific domain

10
Solving piecewise functions
11
Points of Discontinuity
  • With piecewise functions, we have what are called
    points of discontinuity. These are the points
    where the function either jumps up or down or
    where the function has a hole. The function
    below has a discontinuity at 1.

12
Points of Discontinuity
This step function has points of discontinuity
at1, 2 and 3.
13
Practice Problem
14
Answers

The point of discontinuity occurs at x 1.
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