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1.2_Absolute_Value_Function

1.2_Absolute_Value_Function - x ∈(‐ ∞-3 OR(1 ∞...

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1.2_Absolute_Value_Function.notebook 1 1.2 The Absolute Value Function Recall f(x) = x absolute value f cn , can be written as f(x)= { x, x 0 -x, x 0 i.e. f(3) = 3 f(‐5) = 5 f( 2n‐4) = { 2n‐4, n 2 4‐2n, n < 2 every output is positive Graph: y = x, x 0 y = -x, x 0 Example 1 Equations with absolute value: Solve for x: a) x = 3 b) x + 2 = 1

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1.2_Absolute_Value_Function.notebook 2 Notation Set Notation Interval Absolute Value (a) (b) (c) (d) ­2 {x R| x>‐2} x (‐2, + ) ­2 2 {x R|‐2 x 2} x [‐2, 2] |x| ≤ 2 ­3 1 ­1 {x R|x<‐3 OR x>1}
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Unformatted text preview: x ∈ (‐ ∞,-3 ), OR (1, ∞ ) ‐3> x >1 ⇒ ‐2>x+1>2 ⇒ |x+1|>2 ­4 1 {x ∈ R|‐4 ≤ x<1} x ∈ [‐4, 1) Inequations with absolute value Example 2 c) x + 1 ≤ 3 b) x ‐ 1 ≥ 2 a) x > 1 Find an interval for x: Represent it on the number line: 1.2_Absolute_Value_Function.notebook 3 Graphing the Absolute Value Function Example 3 Graph: x +1 a) f(x) = b) g(x) = ‐2 x + 5 Pair Share: Homework Page 16 #3 - 9...
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1.2_Absolute_Value_Function - x ∈(‐ ∞-3 OR(1 ∞...

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