Want to see correct answers?
Login or join for free!
  Algebra Worksheets
Looking for Algebra worksheets?
Check out our pre-made Algebra worksheets!
Share/Like This Page
Filter By Grade

You are browsing Grade 10 questions. View questions in All Grades.

Grade 6 Grade 7 Grade 8 Grade 9 Grade 10 Grade 11 Grade 12 College

Tenth Grade (Grade 10) Functions and Relations Questions

You can create printable tests and worksheets from these Grade 10 Functions and Relations questions! 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 12 Next
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Is the following a function? Explain why or why not.
Coordinate Plane - 5x5 - With Dots
  1. Yes, this does represent a function, because all the points are distinct (none of them are coincident).
  2. No, this does not represent a function, since a function can not be made up of only points.
  3. No, this does not represent a function, since it fails the vertical line test.
  4. No, this does not represent a function, since a function is made up of many more points.
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
What is the range of the absolute value function pictured below? Assume 1 unit intervals for both axes.
Graph - Absolute Function y=|1/2x|
  1. [math]RR[/math]
  2. [math]{y in RR | y !=0}[/math]
  3. [math]{y in RR | y >=0 }[/math]
  4. [math]{y in RR | y > 0}[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
For the function pictured below, with endpoints at [math]x=0[/math] and [math]x=10[/math], what is the range of this function? Assume 1 unit intervals for both axes.
Graph - Piecewise Random 1
  1. [math]RR[/math]
  2. [math]{y in RR | y >= 0 and y <= 10}[/math]
  3. [math]{y in RR | y >= 0 and y <=4}[/math]
  4. [math]{y in RR | y >= 0}[/math]
Grade 10 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the function [math]f(x) = 3x-2[/math].
  1. [math]f^{-1}(x) = 1/3 x + 2[/math]
  2. [math]f^{-1}(x) = x +2 [/math]
  3. [math]f^{-1}(x) = x + 2/3[/math]
  4. [math]f^{-1}(x) = 1/3 x + 2/3[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
Evaluate the function [math]S(t) = 4t^2 - 8 + 9/t[/math] for [math]t=3[/math].
  1. [math]S(3) = 55[/math]
  2. [math]S(3) = 3[/math]
  3. [math]S(3) = 31[/math]
  4. [math]S(3) = 47[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.C.9
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
If the domain of the function [math]f(x) = 5x^2 - 3[/math] is restricted to the values [math]{2,4,6,8}[/math], what is the range of this function?
  1. [math]RR[/math]
  2. [math]{17, 77, 177, 317}[/math]
  3. [math]{2,4,6,8}[/math]
  4. [math]{x in RR | x >=-3}[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.4
For the absolute value function shown below, where is the function decreasing? Assume 1 unit intervals for both axes.
Graph - Absolute Function y=|1/2x|
  1. The function is never decreasing.
  2. For all values of x.
  3. [math]x>0[/math]
  4. [math]x<0[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
For the function [math]f(x) = 3x^2 - x^-1[/math], which of the following are equal?
__ [math]f(1)[/math] A. [math]23/2 [/math]
__ [math]f(2)[/math] B. [math]25/2[/math]
__ [math]f(-1)[/math] C. [math]4[/math]
__ [math]f(-2)[/math] D. [math]2[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Which of these equations is not a function?
  1. [math]y=x^2[/math]
  2. [math]x=3[/math]
  3. [math]y=4x+3[/math]
  4. [math]f(y)=4y^2 -2[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.6
Based on the graph of [math]f(x) =x^2[/math], what is the average rate of change from [math]x=-2[/math] to [math]x=3[/math]?
  1. [math]-3/2[/math]
  2. [math]1[/math]
  3. [math]5[/math]
  4. [math]-5[/math]
  5. None of these are correct.
Previous Page 1 of 12 Next
You need to have at least 5 reputation to vote a question down. Learn How To Earn Badges.