Absolute value

# Absolute value - Absolute Value Modulus of a number The...

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Absolute Value Modulus of a number

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The absolute value of a function The straight “brackets” look inside itself and acts on what it sees If the inside is positive the does NOTHING If the inside is negative the makes it positive The OUTPUT of an absolute value is ALWAYS positive (or zero)
The graph of a basic absolute value function

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Why does the graph look like this? What’s inside the brackets? Do you know what the graph of looks like? Of course you do These are negative outputs the brackets are there to prevent negative outputs
The only difference between And Is that the turns negative INPUTS into positive OUTPUTS Takes what would have been negative And makes it positive

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To deal with an absolute value graph Try to sketch what is INSIDE first Example: Take a look at the graph of
The absolute value only “cares” about preventing negative OUTPUTS. It does nothing to positive outputs It can’t let anything go below the x-axis The absolute value basically just reflects the graph of the inside function in the x-axis

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The key point is where the curve would touch the x- axis
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