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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 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
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
What is the range of the function f(x)=2x2-4x+3?
  1. All real numbers
  2. All real numbers greater than or equal to 3
  3. All real numbers greater than or equal to -32
  4. All real numbers greater than or equal to -12
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is equivalent to (fog)(x)?
  1. f(g(x))
  2. g(f(x))
  3. f(x)g(x)
  4. f(x)+g(x)
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following statements about inverse functions is true?
  1. Every function has an inverse.
  2. Every inverse function is also a function.
  3. The graph of a function and its inverse are always mirror images of each other.
  4. The composition of a function and its inverse is the identity function.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following is the inverse of the function f(x)=2x+1?
  1. f-1(x)=x-12
  2. f-1(x)=x+12
  3. f-1(x)=2x-1
  4. f-1(x)=2(x-1)
Grade 11 Functions and Relations CCSS: HSF-IF.C.7b
Which of the following functions is one-to-one?
  1. f(x)=x2+4x+4
  2. f(x)=2x-1
  3. f(x)=sin(x)
  4. f(x)=ex
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