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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
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following statements about the composition of functions is true?
  1. The composition of two functions is always a function.
  2. The composition of two inverse functions is always the identity function.
  3. The composition of two functions is commutative.
  4. The composition of two functions is always a linear function.
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=sin(x)?
  1. f-1(x)=arcsin(x)
  2. f-1(x)=sin(x)
  3. f-1(x)=cos(x)
  4. f-1(x)=arccos(x)
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=4x-7?
  1. f-1(x)=x+74
  2. f-1(x)=x-74
  3. f-1(x)=4x+7
  4. f-1(x)=4x-7
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions is its own inverse?
  1. f(x)=x
  2. f(x)=-x
  3. f(x)=x3
  4. f(x)=1x
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=cos(x)?
  1. f-1(x)=acos(x)
  2. f-1(x)=sin(x)
  3. f-1(x)=cos-1(x)
  4. f-1(x)=cos(x)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is a function represented by a graph?
  1. The set of all possible inputs
  2. The set of all possible outputs
  3. The relationship between inputs and outputs
  4. The minimum or maximum value of the function
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the range of a function?
  1. The set of all possible outputs
  2. The set of all possible inputs
  3. The domain of a function
  4. The graph of a function
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=ex-1?
  1. f-1(x)=ln(x+1)
  2. f-1(x)=ln(x-1)
  3. f-1(x)=ex+1
  4. f-1(x)=ex-1
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions is its own inverse?
  1. f(x)=x
  2. f(x)=-x
  3. f(x)=x2
  4. f(x)=1x
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=sin(x)?
  1. f-1(x)=arcsin(x)
  2. f-1(x)=cos(x)
  3. f-1(x)=sin(x)
  4. f-1(x)=arccos(x)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=x4?
  1. f-1(x)=(x)14
  2. f-1(x)=x2
  3. f-1(x)=x4
  4. f-1(x)=(x)13
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the x-intercept of a function?
  1. A point where the function crosses the x-axis
  2. A point where the function crosses the y-axis
  3. The minimum value of the function
  4. The maximum value of the function
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the maximum value of a function called?
  1. Maximum
  2. Minimum
  3. Maximum point
  4. Minimum point
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