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Type: Multiple-Choice
Category: Functions and Relations
Level: Grade 11
Standards: HSF-IF.C.9
Author: nsharp1
Created: 5 years ago

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Functions and Relations Question

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Grade 11 Functions and Relations CCSS: HSF-IF.C.9

The absolute value function f(x) is graphed below. Comparing f(x) to g(x)=|3x-1|, which of the following statements is true? For the graph, assume that the scale of both axes is one unit.
Graph - Absolute Function y=|2x|
  1. The minimum value of f(x) is greater than the minimum of g(x).
  2. The minimum value of g(x) is greater than the minimum of f(x).
  3. The minimum values of the two functions are equal. But if f(x1) and g(x2) are the minimum values, x2>x1.
  4. The minimum values of the two functions are equal. But if f(x1) and g(x2) are the minimum values, x2<x1.