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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
What is the domain of the set of ordered pairs?
(8, -13); ( 0, -5) ; (4, -9); (-3,2)
  1. (-3, 0, 4, 8)
  2. (-3, -2)
  3. (-2, -5, -9, -13)
  4. (-3, 8)
Grade 9 Functions and Relations CCSS: HSF-IF.A.1
Find the domain and range.

{(8,3), (2,7), (0,3), (5,9), (1,2)}
  1. D: {0, 1, 2, 5, 8}, R: {2, 3, 3, 7, 9}
  2. D: {0, 1, 2, 5, 8}, R: {2, 3, 7, 9}
  3. D: {2, 3, 7, 9}, R: {0, 1, 2, 5, 8}
  4. D: {2, 3, 3, 7, 9}, R: {0, 1, 2, 5, 8}
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Given the function f(x)=3x-2, what is the domain?
  1. {x∈ℝ∣x<23}
  2. {x∈ℝ∣x>32}
  3. {x∈ℝ∣-32<x<32}
  4. ℝ
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Identify which group of ordered pairs is a function.
  1. (4,-1),(2,-1),(4,0),(3,1),(3,0)
  2. (0,4),(0,1),(0,3),(0,-1)
  3. (-3,2),(-2,1),(-1,0),(0,-1),(1,-2),(2,-3)
  4. (1,-5),(6,-5),(2,1),(1,1)
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
What is the domain of the following function? {(-3,-7), (-2,-5), (-1,-3), (0,-1), (1,1), (2,3), (3,5)}
  1. {-3, -2, -1, 0, 1, 2, 3}
  2. {1, 3, 5, 7}
  3. {0, 1, 2, 3}
  4. {-7, -5, -3, -1, 1, 3, 5}
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
A function is given as f(x)=-x2+9. The domain of the function is                      .
  1. x≤9
  2. y≤9
  3. -3≤x≤3
  4. -3≤y≤3
  5. x∈ℝ
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
What is the range of the function g(x)=-4x-23?
  1. ℝ
  2. {y∈ℝ∣y>-23}
  3. {y∈ℝ∣y>-16}
  4. {y∈ℝ∣-4<y<23}
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
g(x)=12x2+5x-3
The domain of g is only {-2,0,2,4,8}. What is the range of g?
  1. ℝ
  2. {24,-1,0,15,72}
  3. {y∈ℝ∣y≤-16}
  4. {-3,25,9,-11,69}
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Domain talks about the y values of a function.
  1. True
  2. False
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Given the function f(x)=3x2+10x-8, what is its domain?
  1. {x∈ℝ∣-4≤x≤23}
  2. ℝ
  3. {x∈ℝ∣x>-8}
  4. {x∈ℝ∣x>0}
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
The domain of the following functions is restricted to {-2,0,2,6,8}.
Match the functions with their corresponding range:
__ a(x)=12x-4 A. {-1,0,4,6}
__ b(x)={(-2,6),(-3,8),(0,6),(2,4),(6,-1),(7,5),(8,0)} B. {-5,-4,-3.-1,0}
__ c(x)=3x2+9x-2 C. {-8,-2,28,160,262}
__ d(x)=-34x-12 D. {-2,-12,1,4,112}
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
State the implied domain of f(x)=√x+53x-2.
  1. {x∈ℝ∣x≠23}
  2. {x∈ℝ∣-5≤x<23orx>23}
  3. {x∈ℝ∣x≥-5}
  4. {x∈ℝ∣-5<x<23orx>23}
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Let f(x)=x2-2x-15. What is the range of f?
  1. {y∈ℝ∣y≥15}
  2. {y∈ℝ∣y≤-16}
  3. {y∈ℝ∣y≥-16}
  4. ℝ
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Define the domain of a function.
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Let f be the function that takes any integer, and adds 0.5 to it. What is the domain of this function?
  1. ℝ
  2. ℤ
  3. {x∈ℝ∣x>0}
  4. {x∈ℝ∣x<0}
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
k(x)=-12x2+4x+9
What is the range of k?
  1. ℝ
  2. {y∈ℝ∣y≤17}
  3. {y∈ℝ∣y≥10}
  4. {y∈ℝ∣y≤-11}
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Find the domain of f where f(x)=x2-16x2-3x+2.
  1. (-∞, 1) U (1, 2) U (2, ∞)
  2. (∞) U (∞)
  3. (-∞, 1) U (2, ∞)
  4. (-∞, 1) U [1, 2] U (2, ∞)
Grade 11 Radicals CCSS: HSF-IF.A.1
Which of the following is the correct domain for the function f(x)=5√x-3?
  1. {x∈ℝ∣x≥3}
  2. {x∈ℝ∣x≥0}
  3. {x∈ℝ∣x≥35}
  4. {x∈ℝ∣x≤35}
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