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Type: Multiple-Choice
Category: Systems of Equations
Level: Grade 11
Standards: HSA-REI.D.11
Author: nsharp1
Last Modified: 5 years ago

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Grade 11 Systems of Equations CCSS: HSA-REI.D.11

Jessica graphs the functions f(x)=3|x-4| and g(x)=3log10(5x) to find the points of intersection. She sees that one point of intersection occurs between x=2.5 and x=3. She also notices that, in this interval, f(x) is decreasing and g(x) is increasing. Next, she creates the following table of values.

        x              f(x)             g(x)      
2.64.2003.342
2.73.9003.391
2.83.6003.438
2.93.3003.484


What can she determine from this table of values?
  1. More information is needed to make any conclusion.
  2. The intersection point lies on 2.6<x<2.7.
  3. The intersection point lies on 2.7<x<2.8.
  4. The intersection point lies on 2.8<x<2.9.