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Which graph represents the function f(x) = |x| - 4?

Which graph represents the function f(x) = |x| - 4?-example-1
User Ron Tuffin
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1 Answer

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Answer: The top graph.

Step-by-step explanation: The inflection is at x = 0, since the absolute value of x starts becoming greater as x decreases. E.g., at x = -2,

f(x) = |x| - 4

f(x) = |-2| - 4

f(x) = 2 - 4

f(x) = - 2

At x = -4

f(x) = |x| - 4

f(x) = |-4| - 4

f(x) = 4 - 4

f(x) = 0

User Thekevinscott
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