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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 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following is the domain of the function f(x)=1x-2?
  1. All real numbers
  2. All real numbers except x = 2
  3. All real numbers except x = -2
  4. All real numbers except x = 12
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=3x+5?
  1. f-1(x)=x-53
  2. f-1(x)=x+53
  3. f-1(x)=3x-5
  4. f-1(x)=3x+5
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=3x+5?
  1. f-1(x)=x-53
  2. f-1(x)=x+53
  3. f-1(x)=3x-5
  4. f-1(x)=3x+5
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
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 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=tan(x)?
  1. f-1(x)=atan(x)
  2. f-1(x)=tan-1(x)
  3. f-1(x)=tanh(x)
  4. f-1(x)=tan2(x)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the end behavior of a function?
  1. The behavior of the function as x approaches negative infinity
  2. The behavior of the function as x approaches positive infinity
  3. The behavior of the function as x approaches 0
  4. The behavior of the function as x approaches 1
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the graph of a function with a decreasing slope called?
  1. Decreasing
  2. Constant
  3. Increasing
  4. Decreasing then increasing
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the range of the function f(x)=-2x2+4x+1?
  1. All real numbers
  2. All real numbers greater than or equal to 12
  3. All real numbers less than or equal to 12
  4. All real numbers less than or equal to -12
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions is one-to-one?
  1. f(x)=x2
  2. f(x)=x3
  3. f(x)=ex
  4. f(x)=ln(x)
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions does not have an inverse function?
  1. f(x)=x2+1
  2. f(x)=ex
  3. f(x)=ln(x)
  4. f(x)=1x
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=2x-7?
  1. f-1(x)=x+72
  2. f-1(x)=x-72
  3. f-1(x)=2x+7
  4. f-1(x)=2x-7
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=|x|?
  1. f-1(x)=-x
  2. f-1(x)=x
  3. f-1(x)=-|x|
  4. f-1(x)=|x|
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the significance of the horizontal asymptote of a function?
  1. It is a line that the function approaches but never touches as x approaches positive or negative infinity
  2. It is the minimum or maximum value of the function
  3. It is the slope of the function at a specific point
  4. It is the x-intercept of the function
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the graph of a function with a decreasing slope called?
  1. Decreasing
  2. Constant
  3. Increasing
  4. Decreasing then increasing
Grade 11 Functions and Relations CCSS: HSF-IF.B.4
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