Share/Like This Page
Browse Questions

Common Core Standard HSF-IF.B.5 Questions

Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes. For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.★

You can create printable tests and worksheets from these questions on Common Core standard HSF-IF.B.5! 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.

Previous Page 1 of 2 Next
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
A plane's fuel consumption depends upon the altitude it is flying at. If a plane is currently flying at 30,000 ft, a function can model how much its fuel consumption could improve or worsen by flying higher or lower than its current altitude. What would be the most appropriate domain for this function?
  1. {x∈ℝ∣x≤30,000}
  2. {x∈ℝ∣x≥-30,000}
  3. {x∈ℝ∣x≥-30,000andx≤15,000}
  4. {x∈ℝ∣x≥0andx≤30,000}
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
Your energy for the day is represented by f(x) if you sleep x hours a day.

What value of x is not in the domain?
  1. 5 hours
  2. 120 minutes
  3. 1439 minutes
  4. -24 hours
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
Find the domain of f(x)=10x.
Grade 11 Functions and Relations CCSS: HSF-IF.B.5
What is the domain of the function? Assume 1 unit intervals for both axes.
Graph - Square Root Function y=sqrt x
  1. All real numbers
  2. (-∞,0)
  3. [0,+∞)
  4. (-∞,+∞)
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
Find the domain of f(x)=4+xx-7.
Grade 11 Functions and Relations CCSS: HSF-IF.B.5
What is the domain and range of the graphed function?
Graph - Quadratic Function y=-2x^2
  1. Domain and range are all real numbers.
  2. Domain is all real numbers less than zero and range is all real numbers.
  3. Domain is all real numbers and range is all real numbers equal to or less than zero.
  4. None of the above.
Grade 11 Functions and Relations CCSS: HSF-IF.B.5
Find the domain of f(x)=√x2-4.
Grade 11 Functions and Relations CCSS: HSF-IF.B.5
x - total weight of apples bought (measured in pounds)
f(x) - total amount of money spent on apples

f(x) = 1.98x

Identify the relevant domain for this real-world function.
  1. all real numbers
  2. all integers
  3. x≥0,x∈ℕ
  4. x≥0,x∈ℝ
Grade 11 Functions and Relations CCSS: HSF-IF.B.5
Find the domain of f(x)=17x3+8.
Grade 11 Functions and Relations CCSS: HSF-IF.B.5
What is the domain of the exponential function pictured below? Assume 1 unit intervals for both axes.
Graph - Exponent Function y=5^x
  1. {x∈ℝ∣x>0}
  2. ℝ
  3. {x∈ℝ∣x<2}
  4. {x∈ℝ∣x>-2andx<2}
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.
Graph - Absolute Function y=|1/2x|
  1. ℝ
  2. {y∈ℝ∣y≠0}
  3. {y∈ℝ∣y≥0}
  4. {y∈ℝ∣y>0}
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.
Graph - Piecewise Random 1
  1. ℝ
  2. {y∈ℝ∣y≥0andy≤10}
  3. {y∈ℝ∣y≥0andy≤4}
  4. {y∈ℝ∣y≥0}
Previous Page 1 of 2 Next

Become a Pro subscriber to access Common Core questions

Unlimited premium printables Unlimited online testing Unlimited custom tests

Learn More About Benefits and Options