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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 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the vertical line test used for?
  1. To determine if a graph is a parabola
  2. To determine if a graph is a straight line
  3. To determine if a graph is a circle
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
What is the vertex of f(x)=-3x2-12x+12?
  1. (-3,15)
  2. (11,13)
  3. (-2,24)
  4. (6,-12)
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
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 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=log₄(x-1)?
  1. f-1(x)=4x-1
  2. f-1(x)=4x+1
  3. f-1(x)=4x+1
  4. f-1(x)=log₄(x+1)
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=5-3x?
  1. f-1(x)=5-x3
  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 has an inverse that is also a function?
  1. f(x)=x2
  2. f(x)=ex
  3. f(x)=ln(x)
  4. f(x)=1x
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=1x?
  1. f-1(x)=-1x
  2. f-1(x)=x1
  3. f-1(x)=1x2
  4. f-1(x)=1x
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is a composite function?
  1. A function that is composed of two or more other functions
  2. A function that is the inverse of another function
  3. A function that is equal to another function
  4. A function that has the same slope as another function
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is an intercept of a function?
  1. A value of x where the function intersects the x-axis
  2. A value of y where the function intersects the y-axis
  3. The slope of a function
  4. The inverse of a function
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
What is the vertex of f(x)=4x2-16x-13?
  1. (2,-29)
  2. (-5,-8)
  3. (7,21)
  4. (-92,14)
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
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 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following is the domain of the function f(x)=√(4-x2)?
  1. x<-2orx>2
  2. -2≤x≤2
  3. x≤-2orx≥2
  4. All real numbers
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions has an inverse that is also a function?
  1. f(x)=x3-x
  2. f(x)=ex2
  3. f(x)=ln(x)
  4. f(x)=|x|
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=3-2x?
  1. f-1(x)=3-x2
  2. f-1(x)=x-32
  3. f-1(x)=2x-3
  4. f-1(x)=2x+3
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=x+1?
  1. f-1(x)=-x-1
  2. f-1(x)=x-1
  3. f-1(x)=x+1
  4. f-1(x)=1-x
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the domain of a function?
  1. The set of all possible inputs
  2. The set of all possible outputs
  3. The set of all real numbers
  4. The range of the function
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the relationship between the domain and range of a function?
  1. The domain is a subset of the range
  2. The range is a subset of the domain
  3. The domain and range are disjoint sets
  4. The domain and range are equal sets
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