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Common Core Standard HSF-IF.C.9 Questions

Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.

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Grade 11 Functions CCSS: HSF-IF.C.9
At what domain is the function [math]f(x)= x-2[/math] less than Graph - Quadratic Function y=-x^2 ?
  1. All real numbers
  2. Nowhere
  3. [math]-1 < x < 0[/math]
  4. [math]-2 < x < 1[/math]
Grade 11 Functions CCSS: HSF-IF.C.9
At what domain is the function [math]f(x)= 2x-2[/math] less than Graph - Linear Function y=2x ?
  1. All real numbers
  2. [math]x > 0[/math]
  3. [math]-1 < x < 0[/math]
  4. [math]-2 < x [/math]
Grade 11 Functions CCSS: HSF-IF.C.9
At what domain is the function [math]f(x)= x+2[/math] greater than Graph - Quadratic Function y=-x^2 ?
  1. All real numbers
  2. Nowhere
  3. [math]0 < x <2[/math]
  4. [math]-2 < x < 2[/math]
Grade 11 Functions CCSS: HSF-IF.C.9
At what domain is the function [math]f(x)= x-2[/math] less than Graph - Linear Function y=2x ?
  1. All real numbers
  2. [math]x > 0[/math]
  3. [math]-1 < x < 0[/math]
  4. [math]-2 < x [/math]
Grade 11 Functions CCSS: HSF-IF.C.9
At what domain is the function [math]f(x)= 2x^2+2[/math] greater than Graph - Quadratic Function y=1/2x^2 ?
  1. All real numbers
  2. [math]x = 0[/math]
  3. [math]-1 < x < 1[/math]
  4. Never

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