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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 10 Functions CCSS: HSF-IF.B.4
Given the domain [math]-pi < x < pi[/math], at what interval(s) is range of the function [math]f(x)=2cos(x)[/math] negative?
  1. [math]-3/4pi < x < -1/4pi, 1/4pi < x < 3/4pi[/math]
  2. [math]-pi < x < 0[/math]
  3. [math]-1/2pi < x < 1/2 pi[/math]
  4. [math]-pi < x <-1/2pi,1/2pi< x< pi[/math]
Grade 9 Quadratic Equations CCSS: HSF-IF.B.4
Which function has a y-intercept of 4?
  1. [math]y = 2x^2 + 1[/math]
  2. [math]y = 2x^2 + 4x[/math]
  3. [math]y = 2x^2 - 4[/math]
  4. [math]y = 2x^2 + 4[/math]
Grade 10 Functions CCSS: HSF-IF.B.4
Given the domain [math]-pi < x < pi[/math], at what interval(s) is slope of the function [math]f(x)=sinx[/math] positive?
  1. [math]0 < x < pi[/math]
  2. [math]-pi < x < 0[/math]
  3. [math]-1/2pi < x < 1/2 pi[/math]
  4. [math]-pi < x <-1/2pi,1/2pi< x< pi[/math]
Grade 10 Functions CCSS: HSF-IF.B.4
At what interval is slope of the function [math]y=-(x-2)^2[/math] positive?
  1. [math]x<0[/math]
  2. [math]x>0[/math]
  3. [math]x> -2[/math]
  4. [math]x<2[/math]
Grade 10 Functions CCSS: HSF-IF.B.4
At what interval is slope of the function [math]y=(x+2)^2[/math] positive?
  1. [math]x<0[/math]
  2. [math]x>0[/math]
  3. [math]x> -2[/math]
  4. [math]x<2[/math]
Grade 10 Functions CCSS: HSF-IF.B.4
Given the domain [math]-pi < x < pi[/math], at what interval(s) is range of the function [math]f(x)=sinx[/math] negative?
  1. [math]0 < x < pi[/math]
  2. [math]-pi < x < 0[/math]
  3. [math]-1/2pi < x < 1/2 pi[/math]
  4. [math]-pi < x <-1/2pi,1/2pi< x< pi[/math]
Grade 10 Functions CCSS: HSF-IF.B.4
Given the domain [math]-pi < x < pi[/math], at what interval(s) is range of the function [math]f(x)=cos(2x)[/math] negative?
  1. [math]-3/4pi < x < -1/4pi, 1/4pi < x < 3/4pi[/math]
  2. [math]-pi < x < 0,0 < x < pi[/math]
  3. [math]-1/2pi < x < 1/2 pi[/math]
  4. [math]-1/2pi < x <0,1/2pi< x< pi[/math]
Grade 9 Quadratic Equations CCSS: HSF-IF.B.4
What is the x-coordinate of the vertex of the graph of [math]y = -2x^2 - x +8?[/math]
  1. [math]-1[/math]
  2. [math]-(1/4)[/math]
  3. [math](1/4)[/math]
  4. [math](1/2)[/math]

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