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Common Core Standard HSF-IF.B.4 Questions

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

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Grade 11 Functions and Relations CCSS: HSF-IF.B.4
Grade 11 Functions and Relations CCSS: HSF-IF.B.4
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Given the function [math]f(x) = x^2 - 2x - 3[/math], for what interval(s) is [math]f(x) > 0 ?[/math]
  1. [math](-1,3)[/math]
  2. [math](-oo,-1) uu (3,oo)[/math]
  3. [math](-oo , 0)[/math]
  4. [math](-oo, oo)[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
For the function [math]f(x) = -x^2 - 4[/math], for what interval(s) is [math]f(x) < 0 ?[/math]
  1. [math](-oo,-2) uu (2,oo)[/math]
  2. [math](-2,2)[/math]
  3. [math] (-oo,oo)[/math]
  4. [math](0,oo)[/math]
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
For the absolute value function shown below, where is the function decreasing? Assume 1 unit intervals for both axes.
Graph - Absolute Function y=|1/2x|
  1. The function is never decreasing.
  2. For all values of x.
  3. [math]x>0[/math]
  4. [math]x<0[/math]
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