Share/Like This Page
Browse Questions

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.★

You can create printable tests and worksheets from these questions on Common Core standard HSF-IF.B.4! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

Previous Page 1 of 9 Next
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Given the function f(x)=x2-2x-3, for what interval(s) is f(x)>0?
  1. (-1,3)
  2. (-∞,-1)∪(3,∞)
  3. (-∞,0)
  4. (-∞,∞)
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
Find the axis of symmetry of f(x)=-4x2+12x-15.
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
What is the inverse of the function f(x)=2ex?
  1. f-1(x)=ln(x2)
  2. f-1(x)=ex2
  3. f-1(x)=ln(x)2
  4. f-1(x)=e2x
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=cos(x)?
  1. f-1(x)=arccos(x)
  2. f-1(x)=cos(x)
  3. f-1(x)=sin(x)
  4. f-1(x)=arcsin(x)
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)=ex
  3. f(x)=ln(x)
  4. f(x)=3x+2
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=ln(x)?
  1. f-1(x)=ex
  2. f-1(x)=log(x)
  3. f-1(x)=ln-1(x)
  4. f-1(x)=ln(x)2
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the y-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 minimum value of a function called?
  1. Maximum
  2. Minimum
  3. Maximum point
  4. Minimum point
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
For the function f(x)=-x2-4, for what interval(s) is f(x)<0?
  1. (-∞,-2)∪(2,∞)
  2. (-2,2)
  3. (-∞,∞)
  4. (0,∞)
Grade 10 Quadratic Equations and Expressions CCSS: HSF-IF.B.4
Find the axis of symmetry of f(x)=-12x2-18x-3.
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
What 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)=x2-1
  4. f-1(x)=x2+1
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)=x2-3x+2
  2. f(x)=x3
  3. f(x)=ex2
  4. f(x)=ln(x)
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
Which of the following functions is one-to-one?
  1. f(x)=x3
  2. f(x)=ex
  3. f(x)=ln(x)
  4. f(x)=2x+5
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the equation for the inverse of the function f(x)=2x+3?
  1. f-1(x)=x-32
  2. f-1(x)=2x+3
  3. f-1(x)=-x-32
  4. f-1(x)=3-x2
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the inverse of the function f(x)=exp(x)?
  1. f-1(x)=log(x)
  2. f-1(x)=ln(x)
  3. f-1(x)=log10(x)
  4. f-1(x)=ln10(x)
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is a one-to-one function?
  1. A function where each input corresponds to exactly one output
  2. A function where each output corresponds to exactly one input
  3. A function where the outputs are equal to the inputs
  4. A function where the inputs are equal to the outputs
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is the slope of a function?
  1. The change in the y-coordinate
  2. The change in the x-coordinate
  3. The ratio of the change in the y-coordinate to the change in the x-coordinate
  4. The product of the change in the y-coordinate and the change in the x-coordinate
Previous Page 1 of 9 Next

Become a Pro subscriber to access Common Core questions

Unlimited premium printables Unlimited online testing Unlimited custom tests

Learn More About Benefits and Options