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Common Core Standard HSF-IF.C.7a Questions

Graph linear and quadratic functions and show intercepts, maxima, and minima.

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Grade 9 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a
[math] y=3x-7 [/math]
Graph 10x10
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
What is the range of a function represented by a graph that is a quadratic function with a vertex at (3, -1) and a y-intercept of 4?
  1. (-infinity, -1] U [4, infinity)
  2. [-1, 4]
  3. [-1, infinity)
  4. All real numbers
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
Which of the following functions is increasing on the interval (-∞, ∞)?
  1. f(x) = -x^3
  2. f(x) = cos(x)
  3. f(x) = 1/(1+x^2)
  4. f(x) = 3x + 2
Grade 11 Functions and Relations CCSS: HSF-IF.C.7a
What is the range of a function represented by a graph that is a parabola opening upwards with vertex at (0, 0)?
  1. All real numbers
  2. (0, infinity)
  3. (-infinity, 0]
  4. [0, infinity)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
What is the relationship between the increasing/decreasing behavior of a function and the sign of its derivative?
  1. If a function is increasing, then its derivative is negative.
  2. If a function is decreasing, then its derivative is positive.
  3. If a function is increasing, then its derivative is positive.
  4. If a function is decreasing, then its derivative is negative.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7a
What is the domain of a function represented by a graph that is a horizontal line passing through the point (-2, 5)?
  1. All real numbers
  2. (-infinity, -2] U [-2, infinity)
  3. (-infinity, -2)
  4. [-2, infinity)
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.C.7, HSF-IF.C.7a
Graph the following equation:
[math]f(x) = x^2 - 3[/math]
Graph 10x10
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
What is the x-intercept of the function y = 2x - 6?
  1. (0, -6)
  2. (-3, 0)
  3. (3, 0)
  4. (-6, 2)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
Which of the following functions is decreasing on the interval (1, ∞)?
  1. f(x) = x^3
  2. f(x) = e^(-x)
  3. f(x) = ln(x)
  4. f(x) = cos(x)
Grade 11 Functions and Relations CCSS: HSF-IF.C.7a
What is the range of a function represented by a graph that is a vertical line passing through the point (3, 0)?
  1. All real numbers
  2. (-infinity, 0] U [0, infinity)
  3. (-infinity, 0)
  4. [0, infinity)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.C.7a
What is the y-intercept of the function y = -4x + 8?
  1. (0, 8)
  2. (-2, 0)
  3. (2, 0)
  4. (8, 0)
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