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Common Core Standard HSF-IF.A.2 Questions

Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of a context.

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Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Find f(4+3x) given f(x)=3x-8.
  1. f(4+3x)=9x2+12x-8
  2. f(4+3x)=9x2-12x-32
  3. f(4+3x)=-4
  4. f(4+3x)=9x+4
Grade 11 Functions and Relations CCSS: HSF-IF.A.2, HSF-BF.A.1, HSF-BF.A.1c
Given f(x)=x+4, g(x)=x2 find f(g(x-2)).
  1. f(g(x-2))=x2-4x+8
  2. f(g(x-2))=x2+x+2
  3. f(g(x-2))=x+2
  4. f(g(x-2))=x2-4x+4
Grade 11 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.A.2
Which of the following shows y=3x-2 expressed with function notation?
  1. x=3x-2
  2. y=3x-2
  3. f(x)=3x-2
  4. This is not a function.
Grade 9 Functions and Relations CCSS: HSF-IF.A.2
If f(x)=4x+5, find f(5).
  1. 5
  2. 10
  3. 20
  4. 25
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Given that f(x) = -7x + 4, evaluate f(−4).
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Evaluate f(6) given f(x)=4x2-5x+13.
  1. f(6)=45
  2. f(6)=0
  3. f(6)=127
  4. f(6)=7
Grade 11 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.A.2
Which of the following shows y=-x expressed with function notation?
  1. f(x)=-x
  2. f(y)=-x
  3. This is not a function.
  4. f(-x)=x
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Evaluate f(1) given that f(x)=13x-16.
  1. f(1)=-3
  2. f(1)=1713
  3. f(1)=1613
  4. f(1)=3
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Evaluate f(3) given that f(x)=3x+5.
  1. f(3)=8
  2. f(3)=14
  3. f(3)=3
  4. f(3)=-23
Grade 11 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.A.2
The function f(x)=15y2+8 can also be expressed in which of the following forms?
  1. This is not a function.
  2. x=15y2+8
  3. 15y2=8
  4. f(y)=15x2+8
Grade 11 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.A.2
Which of the following shows y=12x2+2 expressed with function notation?
  1. f(x)=12x2+2
  2. f(y)=12x2+2
  3. x=12x2+2
  4. This is not a function.
Grade 11 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.A.2
Which of the following shows 8=x2+y2 expressed as y as a function of x?
  1. f(x)=x2+y2
  2. This is not a function.
  3. f(y)=x2+y2
  4. f(x,y)=x2+y2
Grade 11 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.A.2
Which of the following shows t=23r-4r+6 expressed with function notation?
  1. f(t)=23r-4r+6
  2. f(r)=19r+6
  3. f(t)=19r+6
  4. This is not a function.
Grade 11 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.A.2
f(y)=-x2+2 is equivalent to which of the following?
  1. y=-x2+2
  2. This is not a function.
  3. x=-x2+2
  4. y=x2+2
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Given that f(x) = -4x, evaluate f(3).
Grade 11 Functions and Relations CCSS: HSF-IF.A.2
Given that f(x) = 7x + 2, evaluate f(2).
Grade 11 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.A.2
f(p)=6p-3 is equivalent to which of the following?
  1. f(x)=6p-3
  2. p=6p-3
  3. t=6p-3
  4. This is not a function.
Grade 11 Functions and Relations CCSS: HSF-IF.A.1, HSF-IF.A.2
The function f(x)=3x+4y2-6 can also be expressed in which of the following forms?
  1. y(x)=3x+4y2-6
  2. y=3x+4y2-6
  3. x=3x+4y2-6
  4. This is not a function.
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