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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

Let f(x) be the square root function in the following graph. Assume that the scale on both axes is one unit. Also, let g(x)=5⋅√-3x-2+2. Which of the following statements is true about these functions?
Graph - Square Root Function y=sqrt x
  1. The minimum value of f(x) is less than the minimum value of g(x).
  2. The minimum value of g(x) is less than the minimum value of f(x).
  3. The domain of f(x) and the domain of g(x) are identical.
  4. The y-intercepts of both functions are real numbers which are greater than or equal to zero.