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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.

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Grade 10 Functions and Relations CCSS: HSF-IF.A.2
Evaluate $f(x) = -x + 5$ for $x = -2$.
1. $f(-2) = 7$
2. $f(-2) = 10$
3. $f(-2) = -7$
4. $f(-2) = 3$
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Is the following a function? Explain why or why not.
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.A.2
Evaluate $f(x) = -5x$ for $x = 0$.
1. $f(0) = -5$
2. $f(0) = 0$
3. $f(0) = 5$
4. $f(0) = 1$
Grade 10 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4a
Find the inverse of the function $f(x) = 3x-2$.
1. $f^{-1}(x) = 1/3 x + 2$
2. $f^{-1}(x) = x +2$
3. $f^{-1}(x) = x + 2/3$
4. $f^{-1}(x) = 1/3 x + 2/3$
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.
1. $RR$
2. ${y in RR | y !=0}$
3. ${y in RR | y >=0 }$
4. ${y in RR | y > 0}$
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
Evaluate the function $S(t) = 4t^2 - 8 + 9/t$ for $t=3$.
1. $S(3) = 55$
2. $S(3) = 3$
3. $S(3) = 31$
4. $S(3) = 47$
Grade 10 Functions and Relations CCSS: HSF-IF.C.9
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
If the domain of the function $f(x) = 5x^2 - 3$ is restricted to the values ${2,4,6,8}$, what is the range of this function?
1. $RR$
2. ${17, 77, 177, 317}$
3. ${2,4,6,8}$
4. ${x in RR | x >=-3}$
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
For the function pictured below, with endpoints at $x=0$ and $x=10$, what is the range of this function? Assume 1 unit intervals for both axes.
1. $RR$
2. ${y in RR | y >= 0 and y <= 10}$
3. ${y in RR | y >= 0 and y <=4}$
4. ${y in RR | y >= 0}$
Grade 10 Functions and Relations CCSS: HSF-IF.B.6
Based on the graph of $f(x) =x^2$, what is the average rate of change from $x=-2$ to $x=3$?
1. $-3/2$
2. $1$
3. $5$
4. $-5$
5. None of these are correct.
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Which of these equations is not a function?
1. $y=x^2$
2. $x=3$
3. $y=4x+3$
4. $f(y)=4y^2 -2$
Grade 10 Functions and Relations CCSS: HSF-IF.C.9
At what values of the domain is the function $f(x)= x-2$ less than the function represented in the graph?
?
1. All real numbers
2. $x > 0$
3. $-1 < x < 0$
4. $-2 < x$
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Given the following for $y = f(x)$:

$y in {1, 3, 5, 7, 9}$
$x in {2, 4, 6, 8, 10}$

What is true about the given?
1. The range is the values of y.
2. The domain is the set of all even integers.
3. The range is the set of all odd integers.
4. The domain and range include all real numbers.
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