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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
Given the graph below of the function [math]f(x) = 2^x[/math], what is the end behavior as [math]x -> -oo ?[/math] Assume 1 unit intervals for both axes.
Graph - Exponent Function y=2^x
  1. [math]f(x) -> -oo[/math]
  2. [math]f(x) -> 0[/math]
  3. [math]f(x) -> -1[/math]
  4. [math]f(x) -> oo[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following is the inverse of the function [math]f(x) = 3/(x - 1) + 2[/math]?
  1. [math]f^-1(x) = (x - 2)/3 + 1[/math]
  2. [math]f^-1(x) = (x - 2)/(3x - 1)[/math]
  3. [math]f^-1(x) = (x - 2)/3 - 1[/math]
  4. [math]f^-1(x) = (x - 2)/(3 - x)[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function [math]f(x) = 4x - 2[/math]?
  1. [math]f^-1(x) = (x + 2)/4[/math]
  2. [math]f^-1(x) = (x - 2)/4[/math]
  3. [math]f^-1(x) = 4x + 2[/math]
  4. [math]f^-1(x) = 4x - 2[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function [math]f(x) = 2x - 3[/math]?
  1. [math]f^-1(x) = (x + 3)/2[/math]
  2. [math]f^-1(x) = (x - 3)/2[/math]
  3. [math]f^-1(x) = 2x + 3[/math]
  4. [math]f^-1(x) = 2x - 3[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function [math]f(x) = 4x + 5[/math]?
  1. [math]f^-1(x) = (x - 5)/4[/math]
  2. [math]f^-1(x) = (x + 5)/4[/math]
  3. [math]f^-1(x) = 4x - 5[/math]
  4. [math]f^-1(x) = 4x + 5[/math]
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the inverse of the function [math]f(x) = sqrt(x)[/math]?
  1. [math]f^-1(x) = x^2[/math]
  2. [math]f^-1(x) = -sqrt(x)[/math]
  3. [math]f^-1(x) = sqrt(x)[/math]
  4. [math]f^-1(x) = x^(1/2)[/math]
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the general form of a quadratic function?
  1. [math]y = ax^2 + bx + c[/math]
  2. [math]y = ax^3 + bx^2 + cx + d[/math]
  3. [math]y = a^x + b[/math]
  4. [math]y = a/x + b[/math]
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the graph of a function with a constant slope called?
  1. Decreasing
  2. Constant
  3. Increasing
  4. Decreasing then increasing
Grade 11 Functions and Relations CCSS: HSF-IF.B.4
Given the graph of the function [math]f(x) = log(x)[/math], for what values of x is the function positive? Assume 1 unit intervals for both axes.
Graph - Log Function y=log x
  1. [math]-oo < x < oo[/math]
  2. [math] 0 < x < 1[/math]
  3. [math]x>1[/math]
  4. [math]x > 0[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions is its own inverse?
  1. [math]f(x) = x^2[/math]
  2. [math]f(x) = x/2[/math]
  3. [math]f(x) = -x[/math]
  4. [math]f(x) = 1/x[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions is its own inverse?
  1. [math]f(x) = x^2[/math]
  2. [math]f(x) = x/2[/math]
  3. [math]f(x) = -x[/math]
  4. [math]f(x) = 1/x[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions has an inverse that is not a function?
  1. [math]f(x) = x^3[/math]
  2. [math]f(x) = e^x[/math]
  3. [math]f(x) = ln(x)[/math]
  4. [math]f(x) = |x|[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions has an inverse that is also a function?
  1. [math]f(x) = x^2[/math]
  2. [math]f(x) = e^x[/math]
  3. [math]f(x) = ln(x)[/math]
  4. [math]f(x) = 1/x[/math]
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the inverse of the function [math]f(x) = x^3[/math]?
  1. [math]f^-1(x) = (x)^(1/3)[/math]
  2. [math]f^-1(x) = x^2[/math]
  3. [math]f^-1(x) = x^3[/math]
  4. [math]f^-1(x) = (x)^(1/2)[/math]
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is a function table?
  1. A table that displays the inputs and outputs of a function
  2. A table that displays the slope of a function
  3. A table that displays the x-intercepts of a function
  4. A table that displays the y-intercept of a function
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the domain of a function?
  1. The set of all possible outputs
  2. The set of all possible inputs
  3. The range of a function
  4. The graph of a function
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