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

Given the function f(x)=110(x+4)(x+2)(x-1)(x-5), and another polynomial function g(x), some of whose values are listed in the following table, which of the statements concerning these two functions is true?

         x                 g(x)        
-420
-3.518.5
-315.1
-2.512.2
-214.8
  1. Both functions have a local minimum on the interval (-4,-2).
  2. Both functions have a local minimum at x=-2.
  3. f(x) has a local minimum on the interval (-4,-2), and g(x) has a local maximum on this interval.
  4. g(x) has a local minimum on the interval (-4,-2), and f(x) has a local maximum on this interval.