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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.

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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. [math]{x in RR | x > 0}[/math]
  2. [math]RR[/math]
  3. [math]{x in RR | x < 2}[/math]
  4. [math]{x in RR | x > -2 and x < 2}[/math]
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. [math]RR[/math]
  2. [math]{y in RR | y !=0}[/math]
  3. [math]{y in RR | y >=0 }[/math]
  4. [math]{y in RR | y > 0}[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
For the function pictured below, with endpoints at [math]x=0[/math] and [math]x=10[/math], what is the range of this function? Assume 1 unit intervals for both axes.
Graph - Piecewise Random 1
  1. [math]RR[/math]
  2. [math]{y in RR | y >= 0 and y <= 10}[/math]
  3. [math]{y in RR | y >= 0 and y <=4}[/math]
  4. [math]{y in RR | y >= 0}[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.B.5
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. [math](-oo,0)[/math]
  3. [math] [0, +oo)[/math]
  4. [math](-oo, +oo)[/math]
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
Grade 9 Functions and Relations CCSS: HSF-IF.B.5
Choose a reasonable domain for the following situation.
roast beef sandwiches for n people
  1. set of whole numbers
  2. set of integers
  3. set of positive real numbers
  4. set of real numbers
Grade 9 Functions and Relations CCSS: HSF-IF.B.5
Choose a reasonable domain for the following situation.
the distance that a jogger runs in a day
  1. set of whole numbers
  2. set of integers
  3. set of positive real numbers
  4. set of real numbers
Grade 9 Functions and Relations CCSS: HSF-IF.B.5
Choose a reasonable domain for the following situation.
the depth of a submarine
  1. Set of negative real numbers
  2. Set of integers
  3. Set of positive real numbers
  4. Set of all real numbers

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