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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 and Relations CCSS: HSF-IF.A.1
Given the function [math]f(x) = 3x - 2[/math], what is the domain?
  1. [math]{x in RR | x < 2/3}[/math]
  2. [math]{x in RR | x > 3/2} [/math]
  3. [math]{x in RR | -3/2 < x < 3/2} [/math]
  4. [math]RR[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Identify which group of ordered pairs is a function.
  1. [math](4,-1),(2,-1),(4,0),(3,1),(3,0)[/math]
  2. [math](0,4),(0,1),(0,3),(0,-1)[/math]
  3. [math](-3,2),(-2,1),(-1,0),(0,-1),(1,-2),(2,-3)[/math]
  4. [math](1,-5),(6,-5),(2,1),(1,1)[/math]
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 [math]f(x)=-x^2+9[/math]. The domain of the function is                      .
  1. [math]x<=9[/math]
  2. [math]y<=9[/math]
  3. [math]-3<=x<=3[/math]
  4. [math]-3<=y<=3[/math]
  5. [math]x inRR[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
What is the range of the function [math]g(x) = -4x - 2/3 ?[/math]
  1. [math]RR[/math]
  2. [math]{y in RR | y > -2/3} [/math]
  3. [math]{y in RR | y > -1/6}[/math]
  4. [math]{y in RR | -4 < y < 2/3} [/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
[math]g(x)=1/2x^2+5x-3[/math]
The domain of [math]g[/math] is only [math]{-2,0,2,4,8}[/math]. What is the range of [math]g[/math]?
  1. [math]RR[/math]
  2. [math]{24,-1,0,15,72}[/math]
  3. [math]{ y∈RR | y<=-16}[/math]
  4. [math]{ -3,25,9,-11,69}[/math]
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 [math]f(x) = 3x^2 + 10x -8[/math], what is its domain?
  1. [math]{ x in RR | -4 <= x <= 2/3} [/math]
  2. [math] RR[/math]
  3. [math]{x in RR | x > -8}[/math]
  4. [math]{x in RR | x > 0}[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
The domain of the following functions is restricted to [math]{-2,0,2,6,8}[/math].
Match the functions with their corresponding range:
__ [math]a(x)=1/2x-4[/math] A. [math]{-1,0,4,6}[/math]
__ [math]b(x)={(-2,6),(-3,8),(0,6),(2,4),(6,-1),(7,5),(8,0)}[/math] B. [math]{-5,-4,-3.-1,0}[/math]
__ [math]c(x)=3x^2+9x-2[/math] C. [math]{-8,-2,28,160,262}[/math]
__ [math]d(x)=-3/4x-1/2[/math] D. [math]{-2,-1/2,1,4,11/2}[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
State the implied domain of [math]f(x)=(sqrt(x+5))/(3x-2)[/math].
  1. [math]{x in RR | x!=2/3}[/math]
  2. [math]{x in RR | -5 <= x < 2/3 or x>2/3}[/math]
  3. [math]{x in RR | x>=-5} [/math]
  4. [math]{x in RR | -5 < x < 2/3 or x > 2/3}[/math]
Grade 10 Functions and Relations CCSS: HSF-IF.A.1
Let [math]f(x) = x^2 - 2x - 15[/math]. What is the range of [math]f ?[/math]
  1. [math]{y in RR | y >= 15}[/math]
  2. [math]{y in RR | y <= -16}[/math]
  3. [math]{y in RR | y >= -16}[/math]
  4. [math]RR[/math]
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 [math]f[/math] be the function that takes any integer, and adds 0.5 to it. What is the domain of this function?
  1. [math]RR[/math]
  2. [math]ZZ[/math]
  3. [math]{x in RR | x>0}[/math]
  4. [math]{x in RR | x < 0}[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
[math]k(x)=-1/2x^2+4x+9[/math]
What is the range of [math]k[/math]?
  1. [math]RR[/math]
  2. [math]{ y∈RR | y<=17}[/math]
  3. [math]{ y∈RR | y>=10}[/math]
  4. [math]{ y∈RR | y<=-11}[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
Find the domain of [math]f[/math] where [math]f (x) = (x^2-16)/(x^2-3x+2[/math].
  1. (-[math]oo[/math], 1) U (1, 2) U (2, [math]oo[/math])
  2. ([math]oo[/math]) U ([math]oo[/math])
  3. (-[math]oo[/math], 1) U (2, [math]oo[/math])
  4. (-[math]oo[/math], 1) U [1, 2] U (2, [math]oo[/math])
Grade 11 Radicals CCSS: HSF-IF.A.1
Which of the following is the correct domain for the function [math]f(x) = 5sqrt(x-3) ?[/math]
  1. [math]{x in RR | x >= 3}[/math]
  2. [math]{x in RR | x >= 0}[/math]
  3. [math]{x in RR | x >= 3/5}[/math]
  4. [math]{x in RR | x <= 3/5}[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.A.1
[math]h(x)={(18,4),(1,2),(11,9),(7,6),(14,3),(-4,-17)}[/math]
[math]i(x)={(4,13),(12,-1),(-10,7),(7,8),(-9,7),(6,-7)}[/math]
[math]j(x)=5x-13[/math]
[math]k(x)=-2x^{2}-4x+5[/math]

Which functions have the coordinate [math]7[/math] in their range?
  1. [math]h(x)[/math] and [math]i(x)[/math] only
  2. [math]h(x)[/math], [math]j(x)[/math], and [math]k(x)[/math] only
  3. [math]i(x)[/math], [math]j(x)[/math], and [math]k(x)[/math] only
  4. All functions
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
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