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Common Core Standard HSF-IF.A.1 Questions

Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).

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Grade 10 Functions CCSS: HSF-IF.A.1
Which of these equations is not a function?
  1. [math]y=x^2[/math]
  2. [math]x=3[/math]
  3. [math]y=4x+3[/math]
  4. [math]f(y)=4y^2 -2[/math]
Grade 9 Functions 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 CCSS: HSF-IF.A.1
Grade 9 Functions CCSS: HSF-IF.A.1
Find the Domain and Range.

                                                      { (0, 2), (9, 3), (3, 7), (6, 3), (7, 3) }
  1. Domain : { 0, 1, 3, 5, 9 } Range : { 1, 2, 3, 4, 8 }
  2. Domain : { 0, 3, 6, 7, 9 } Range : { 2, 3, 7 }
  3. Domain : { 2, 4, 7, 8 } Range : { 1, 4, 5, 6, 9 }
  4. Domain : { 0, 3, 4, 7, 8 } Range : { 0, 1, 5, 6, 8 }
Grade 12 Functions CCSS: HSF-IF.A.1
Grade 9 Functions CCSS: HSF-IF.A.1
Grade 10 Functions CCSS: HSF-IF.A.1
Grade 10 Functions CCSS: HSF-IF.A.1
Jack counts his steps and times himself as he walks across the football field.

This is
  1. not a function
  2. a continuous function
  3. a discrete function
  4. a partial function
Grade 11 Functions CCSS: HSF-IF.A.1
[math]f(x)=2x+5[/math] is equivalent to
  1. [math]y=2x+5[/math]
  2. [math]x=2x+5[/math]
  3. This is not a function
  4. [math]8=2x+5[/math]
Grade 10 Functions CCSS: HSF-IF.A.1
An equation which represents a bouncing ball would
  1. not be a function
  2. be a continuous function
  3. be a discrete function
  4. be a partial function
Grade 11 Functions CCSS: HSF-IF.A.1
[math]y=3x-2[/math] expressed as a function is
  1. [math]x=3x-2[/math]
  2. [math]y=3x-2[/math]
  3. [math]f(x)=3x-2[/math]
  4. This is not a function
Grade 10 Functions CCSS: HSF-IF.A.1
Grade 11 Functions CCSS: HSF-IF.A.1
[math]y=-x[/math] expressed as a function is
  1. [math]f(x)=-x[/math]
  2. [math]f(y)=-x[/math]
  3. This is not a function
  4. [math]f(-x)=x[/math]
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