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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. f(x)=x3+1
  2. f(x)=ex
  3. f(x)=ln(x)
  4. f(x)=|x|
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
What is the inverse of the function f(x)=6x-2?
  1. f-1(x)=x-26
  2. f-1(x)=x+26
  3. f-1(x)=6x+2
  4. f-1(x)=6x-2
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following functions is even?
  1. f(x)=2x-5
  2. f(x)=x2+3
  3. f(x)=3cos(x)
  4. f(x)=√x
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the inverse of the function f(x)=3x+5?
  1. f-1(x)=3x-5
  2. f-1(x)=x-53
  3. f-1(x)=x+53
  4. f-1(x)=x-53+5
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following functions is odd?
  1. f(x)=4x-7
  2. f(x)=x3+x
  3. f(x)=tan(x)
  4. f(x)=ln(x)
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
What is the inverse of the function f(x)=x2+4x+5?
  1. f-1(x)=√(x-5)-2
  2. f-1(x)=-2x+√(x-1)
  3. f-1(x)=√(x-1)-2
  4. f-1(x)=-2x+√(x-5)
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
If f(x)=2x2+3 and g(x)=x-2, what is the composition (fog)(x)?
  1. 2x3-4x2-3x-6
  2. 2x3-7x+3
  3. 2x2-7x+3
  4. 2x2+7x-3
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the domain of the function f(x)=x-2x+1?
  1. All real numbers
  2. All real numbers except x=1
  3. All real numbers except x=-1
  4. All real numbers except x=-2
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the inverse function of f(x)=2x+1?
  1. f(x)=2x-1
  2. f(x)=x-12
  3. f(x)=x+12
  4. f(x)=x-12+1
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