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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 inverse of the function f(x)=3x-1+2?
  1. f-1(x)=x-23+1
  2. f-1(x)=x-23x-1
  3. f-1(x)=x-23-1
  4. f-1(x)=x-23-x
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=4x-2?
  1. f-1(x)=x+24
  2. f-1(x)=x-24
  3. f-1(x)=4x+2
  4. f-1(x)=4x-2
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=2x-3?
  1. f-1(x)=x+32
  2. f-1(x)=x-32
  3. f-1(x)=2x+3
  4. f-1(x)=2x-3
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=4x+5?
  1. f-1(x)=x-54
  2. f-1(x)=x+54
  3. f-1(x)=4x-5
  4. f-1(x)=4x+5
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)=x2
  2. f-1(x)=-√x
  3. f-1(x)=√x
  4. f-1(x)=x12
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the general form of a quadratic function?
  1. y=ax2+bx+c
  2. y=ax3+bx2+cx+d
  3. y=ax+b
  4. y=ax+b
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the graph of a function with a constant slope called?
  1. Decreasing
  2. Constant
  3. Increasing
  4. Decreasing then increasing
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions is its own inverse?
  1. f(x)=x2
  2. f(x)=x2
  3. f(x)=-x
  4. f(x)=1x
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions is its own inverse?
  1. f(x)=x2
  2. f(x)=x2
  3. f(x)=-x
  4. f(x)=1x
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions has an inverse that is not a function?
  1. f(x)=x3
  2. f(x)=ex
  3. f(x)=ln(x)
  4. f(x)=|x|
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)=x3?
  1. f-1(x)=(x)13
  2. f-1(x)=x2
  3. f-1(x)=x3
  4. f-1(x)=(x)12
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is a function table?
  1. A table that displays the inputs and outputs of a function
  2. A table that displays the slope of a function
  3. A table that displays the x-intercepts of a function
  4. A table that displays the y-intercept of a function
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the domain of a function?
  1. The set of all possible outputs
  2. The set of all possible inputs
  3. The range of a function
  4. The graph of a function
Grade 11 Functions and Relations CCSS: HSF-IF.B.4
The following table lists some values for a function, f(x). What conclusion can be reached about this function from these function values?

    x       f(x)   
-1.51.38
-1.252.64
-13
-0.752.73
-.52.13
  1. The function is positive for -∞<x<0.
  2. The function is increasing for -∞<x<-1.
  3. The function is positive for all values of x.
  4. The function has a relative maximum near x=-1.
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
What are the x-intercepts of the function f(x)=-x2+9?
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