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Ninth Grade (Grade 9) Functions and Relations Questions

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Grade 9 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1a
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
Grade 9 Functions and Relations
A graph made up of unconnected points.
  1. Circle Graph
  2. Continuous Graph
  3. Discrete Graph
Grade 9 Functions and Relations CCSS: HSF-LE.B.5
Abe is helping to inform people about an upcoming election. He goes door to door, giving out information about the election. He usually visits about 10 houses an hour. He has already been out canvassing for 3 hours, but will stay out longer. Does the function H(t)=30+3t correctly represent the total number of houses Abe will visit, where t is the additional time he will work today? If not, why not?
  1. Yes, this function correctly models this situation.
  2. No, the constant term should be 3, not 30, since he has only been out for 3 hours.
  3. No, the variable H should be measuring how successful he is in convincing people to vote, not simply measuring how many houses he has visited.
  4. No, the coefficient of t should be 10, since he can visit 10 houses per hour.
Grade 9 Functions and Relations
Water is stored in tanks which are in the shape of perfect cubes. Randy wants to write a function showing the amount of water the tank can hold compared to the edge length of the tank.
  1. The function will be linear.
  2. The function will be exponential.
  3. The function will be cubic.
  4. There is not enough information.
Grade 9 Functions and Relations CCSS: HSF-IF.A.1
The equation y=x2+7 is NOT a linear function.
  1. True
  2. False
Grade 9 Functions and Relations CCSS: HSF-IF.A.2
Given h(x)=x2-8x, find h(-3).
  1. 33
  2. 15
  3. -15
  4. -33
Grade 9 Functions and Relations CCSS: HSF-IF.A.1
Domain refers to the y-coordinate values.
  1. True
  2. False
Grade 9 Functions and Relations
The x-value is also known as which of the following? Choose all the apply.
  1. Independent Variable
  2. Input
  3. Dependent Variable
  4. Output
Grade 9 Functions and Relations CCSS: HSF-BF.A.1
Write a rule for the function.

input (x)0123output (y)2.23.24.25.2
  1. y=x-2.2
  2. y=x+2.2
  3. y=x-6
  4. y=x+6
Grade 9 Functions and Relations
Identify the axis of symmetry and vertex of the following function.
f(x)=-4(x+1)2+3
  1. x = 4 , (4, 3)
  2. x = -1, (-1,3)
  3. x = 1, (1,3)
  4. x = 3, (-1,3)
Grade 9 Functions and Relations
Reflect f(x) = 5x - 7 across the y-axis.
  1. f(x) = 5x + 7
  2. f(x) = -5x - 7
  3. f(x) = -1/5x + 7
  4. f(x) = -1/5x - 7
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