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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 9 Functions and Relations CCSS: HSF-IF.A.1
A special type of relation that pairs each domain value with exactly one range value.
  1. Relation
  2. Function
  3. Objective
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
The relation graphed below is a function.
Graph - Piecewise Random 1
  1. True
  2. False
Grade 11 Radicals CCSS: HSF-IF.A.1
What is the range of the function y=4e3x-5+3?
  1. {y∈ℝ∣y≥0}
  2. {y∈ℝ∣y≥3}
  3. {y∈ℝ∣y>3}
  4. {y∈ℝ∣y>12}
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
g(x)=2x2+8, {x>1}
h(x)=12x-2, {x≤0}

What is the domain if g(x) and h(x) are combined?
  1. {x∈ℝ∣0≥x>1}
  2. {x∈ℝ∣0>x>1}
  3. {x∈ℝ∣0>x≥1}
  4. ℝ
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 10 Functions and Relations CCSS: HSF-IF.A.1
The graph below shows a function.
Graph - Quadratic Function y=-1/2x^2
  1. True
  2. False
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
For the function g(x)=4x-3x+2, what is its domain?
  1. {x∈ℝ∣x≠2,34}
  2. {x∈ℝ∣x≠-2,34}
  3. {x∈ℝ∣x≠2}
  4. {x∈ℝ∣x≠-2}
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Which of these equations is not a function?
  1. y=x2
  2. x=3
  3. y=4x+3
  4. f(y)=4y2-2
Grade 9 Functions and Relations 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 and Relations CCSS: HSF-IF.A.1
Range refers to the x-coordinate values.
  1. True
  2. False
Grade 9 Functions and Relations 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 and Relations CCSS: HSF-IF.A.1
y2=x is a function.
  1. True
  2. False
Grade 9 Functions and Relations CCSS: HSF-IF.A.1
Domain refers to the y-coordinate values.
  1. True
  2. False
Grade 12 Functions and Relations CCSS: HSF-IF.A.1
What x values must be excluded from the domain of f(x)=-2x+3?
  1. x=0
  2. x=3
  3. x=-3
  4. x=2
Grade 12 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.C.7
What x values must be excluded from the domain of f(x)=-42x+5?
  1. x=-2
  2. x=-5
  3. x=-52
  4. x=25
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
The ordered pairs
(1,2)
(2,3)
(3,2)
(4,3)
(5,2)
represent a function.
  1. True
  2. False
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