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# Functions and Relations Questions - All Grades

You can create printable tests and worksheets from these 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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The tree in Damien's backyard is 52 feet tall. It grows 0.6 feet per year. Write a function that represents this situation.
1. $f(t) = 52t + 0.6$
2. $f(t) = 52 + 0.6t$
3. $f(t) = 52 + 9t$
4. $f(t) = 52t + 9$
Jorel has a sister that is 5 years younger than three times his age. Write a function that represents this situation.
1. $f(x) = 5-3x$
2. $f(x) = 5-3$
3. $f(x) = 5x-3$
4. $f(x) = 3x-5$
Grade 9 Functions and Relations CCSS: HSF-IF.A.1
Find the Domain and Range.

{ (3, 1), (7, 5), (4, 8), (0, 6), (8, 0) }
1. Domain : { 1, 2, 3, 4, 9 } Range : { 2, 3, 7 }
2. Domain : { 0, 3, 4, 7, 8 } Range : { 0, 1, 5, 6, 8 }
3. Domain : { 2, 4, 7, 8 } Range : { 1, 4, 5, 6, 9 }
4. Domain : { 1, 2, 3, 6, 9 } Range : { 2, 4, 7, 8, 9 }
Troy wants to join Universal Gym. The gym charges a one-time membership fee of $50 and$24.50 per month. Write a function that represents this situation.
1. $f(m) = 50m+24.50$
2. $f(m) = 50+24.50m$
3. $f(m) = 50m+24.50m$
4. $f(m) = 50+24.50$
If y = f(x) is transformed to y = f( x+ 2), the function                     .
1. Shifts up 2 units
2. Shifts down 2 units
3. Shifts left 2 units
4. Shifts right 2 units
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Which of the following equations is an example of direct variation?
1. 3y = 6x + 1
2. 2y = 12x
3. 2y + x = 7
4. All of the above represent direct variation
If y = f(x) is changed to y = -f(x), the function                             .
1. is reflected over the x-axis
2. is reflected over the y-axis
3. becomes "skinnier"
4. becomes "fatter"
Grade 9 Functions and Relations CCSS: HSF-LE.A.1a
A function which has a constant difference per interval is
1. Linear
2. Exponential
3. Logarithmic
4. None of the above