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

Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions.

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Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following functions does not have an inverse?
  1. [math]f(x) = x^3 + 1[/math]
  2. [math]f(x) = e^x[/math]
  3. [math]f(x) = ln(x)[/math]
  4. [math]f(x) = |x|[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
What is the inverse of the function [math]f(x) = 6x - 2[/math]?
  1. [math]f^-1(x) = (x - 2)/6[/math]
  2. [math]f^-1(x) = (x + 2)/6[/math]
  3. [math]f^-1(x) = 6x + 2[/math]
  4. [math]f^-1(x) = 6x - 2[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following functions is even?
  1. [math]f(x) = 2x - 5[/math]
  2. [math]f(x) = x^2 + 3[/math]
  3. [math]f(x) = 3cos(x)[/math]
  4. [math]f(x) = sqrt(x)[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the inverse of the function [math]f(x) = 3x + 5[/math]?
  1. [math]f^-1(x) = 3x - 5[/math]
  2. [math]f^-1(x) = (x - 5)/3[/math]
  3. [math]f^-1(x) = (x + 5)/3[/math]
  4. [math]f^-1(x) = (x - 5)/3 + 5[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following functions is odd?
  1. [math]f(x) = 4x - 7[/math]
  2. [math]f(x) = x^3 + x[/math]
  3. [math]f(x) = tan(x)[/math]
  4. [math]f(x) = ln(x)[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
What is the inverse of the function [math]f(x) = x^2 + 4x + 5[/math]?
  1. [math]f^-1(x) = √(x - 5) - 2[/math]
  2. [math]f^-1(x) = -2x + √(x - 1)[/math]
  3. [math]f^-1(x) = √(x - 1) - 2[/math]
  4. [math]f^-1(x) = -2x + √(x - 5)[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
If [math]f(x) = 2x^2 + 3[/math] and [math]g(x) = x - 2[/math], what is the composition [math](f o g)(x)[/math]?
  1. [math]2x^3 - 4x^2 - 3x - 6[/math]
  2. [math]2x^3 - 7x + 3[/math]
  3. [math]2x^2 - 7x + 3[/math]
  4. [math]2x^2 + 7x - 3[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the domain of the function [math]f(x) = (x - 2)/(x + 1)[/math]?
  1. All real numbers
  2. All real numbers except [math]x = 1[/math]
  3. All real numbers except [math]x = -1[/math]
  4. All real numbers except [math]x = -2[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the inverse function of [math]f(x) = 2x + 1[/math]?
  1. [math]f(x) = 2x - 1[/math]
  2. [math]f(x) = (x - 1)/2[/math]
  3. [math]f(x) = (x + 1)/2[/math]
  4. [math]f(x) = (x - 1)/2 + 1[/math]
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