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Functions and Relations Questions - All Grades

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Grade 9 Functions and Relations
Grade 11 Functions and Relations
Grade 9 Functions and Relations
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. [math]f(t) = 52t + 0.6[/math]
  2. [math]f(t) = 52 + 0.6t[/math]
  3. [math]f(t) = 52 + 9t[/math]
  4. [math]f(t) = 52t + 9[/math]
Grade 9 Functions and Relations
Jorel has a sister that is 5 years younger than three times his age. Write a function that represents this situation.
  1. [math]f(x) = 5-3x[/math]
  2. [math]f(x) = 5-3[/math]
  3. [math]f(x) = 5x-3[/math]
  4. [math]f(x) = 3x-5[/math]
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 }
Grade 9 Functions and Relations
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. [math]f(m) = 50m+24.50[/math]
  2. [math]f(m) = 50+24.50m[/math]
  3. [math]f(m) = 50m+24.50m[/math]
  4. [math]f(m) = 50+24.50[/math]
Grade 11 Functions and Relations
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
Grade 8 Functions and Relations
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
Grade 9 Functions and Relations
Grade 9 Functions and Relations
Grade 11 Functions and Relations
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
Grade 11 Functions and Relations
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
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