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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 9 Functions and Relations CCSS: HSF-IF.A.1
Which relation represents a function?
  1. {(2,6), (-3,6), (4,9), (2,10)}
  2. {(-4,4), (-3, 3), (-2,2), (-1,1), (-4, 0)}
  3. {(3,5), (4, 8), (2, 9)}
  4. {(8, 0), (5,2), (8,-1), (4,-2)}
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Which of the following states the range for the function h(x)=cos(x)+1?
  1. [0,2]
  2. [-1,1]
  3. (-∞,∞)
  4. [-2,2]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
If f(x) = 2x + 3 and g(x) = x2, what is the value of f(g(2))?
  1. 10
  2. 11
  3. 13
  4. 15
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
State the domain: f(x)=-1x-5
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Is the following graph a function?
Graph - Absolute Function y=|x|
  1. Yes
  2. No
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Let g(x)=√x2-4. What is the domain of g(x)?
  1. (-∞,∞)
  2. (-∞,-2]∪[2,∞)
  3. [-2,2]
  4. [2,∞)
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
What is the equation of the line that passes through the points (1, 2) and (3, 5)?
  1. y = 3x - 1
  2. y = 2x + 1
  3. y = x + 2
  4. y = 4x - 3
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
The domain is {-2, -2, 0, 1, 5} and the range is {-2, 0, 1, -2, 5}.

The given domain and range determines that the sets of numbers are
  1. a function, and linear.
  2. not a function, but linear.
  3. a function, but not linear.
  4. not a function, and not linear.
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