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Common Core Standard HSF-IF.A.2 Questions

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

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Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
The function h(t) describes the height of a plane, in meters, where t is the time elapsed since the plane took off, in hours. Which of the following best describes the inequality h(t)<10,500?
  1. The plane flies for less than 10,500 hours.
  2. The plane can carry less than 10,500 pounds of cargo.
  3. The plane flies below 10,500 meters during its flight.
  4. The total distance the plane flies is less than 10,500 meters.
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
If the function P(d) represents the pressure (in psi) at certain depths (in feet) below the ocean surface, what does the equation P(33)=P(0)+14.5 mean?
  1. The pressure does not change as one goes deeper in the ocean.
  2. The pressure 33 feet below the surface increases by 14.5 psi.
  3. At a depth of 14.5 feet, the pressure equalizes.
  4. This function can only record pressure for depths of up to 33 feet.
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
At a local recycling and garbage facility, people pay for the weight of the trash or recycling they bring in. The function C(w) gives the cost, C, in dollars that they pay for the weight, w, in pounds that they bring in. What does C(50)=100 mean?
  1. People can only bring in 50 pounds of garbage or recycling.
  2. 100 pounds of garbage or recycling costs 50 dollars.
  3. People can only bring in 100 pounds of garbage or recycling.
  4. 50 pounds of garbage or recycling costs 100 dollars.
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 11 Functions and Relations CCSS: HSF-IF.A.2
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
Will is going for a walk on a hiking trail just outside his town. The trail is very hilly. The function h(d) gives his height, h, in meters above the town according to the distance, d, in kilometers he has walked along the path. What does h(2.5)>h(4) mean?
  1. The height at 2.5 km along the path is higher than the height at 4 km along the path.
  2. The trial's highest point is at 2.5 km along the path.
  3. The trail is all downhill after 2.5 km along the path.
  4. The height at 4 km along the path is actually below the height of the town.
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 9 Functions and Relations CCSS: HSF-IF.A.2
Grade 10 Functions and Relations CCSS: HSF-IF.A.2
A bucket was left outside several days ago, collecting water when it rained and then loosing water when it evaporated. The function W(t) gives the level of water in inches, depending on t, the number of days since it was first left outside. What does W(2)=W(5) mean?
  1. The water level was only recorded on the 2nd and 5th days.
  2. The water level was 5 inches on the 2nd day.
  3. The water level was the same on the 2nd day as it was on the 5th day.
  4. The water level was 2 inches on the 5th day.
Grade 9 Functions and Relations CCSS: HSF-IF.A.2
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