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Eleventh Grade (Grade 11) Functions and Relations Questions

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Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
Which function represents exponential growth?
  1. y=(0.95)t
  2. y=(1.06)t
  3. y=(0.25)t
  4. y=(0.02)t
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If f(x)=(-2)(4x), what type of change does the function represent?
  1. Exponential growth
  2. Exponential decay
  3. Constant
  4. Linear growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If h(x)=(⅓)(1.5)x, what type of change does the function represent?
  1. Exponential growth
  2. Exponential decay
  3. Constant
  4. Linear growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
if g(x)=3-x3, what type of change does the function represent?
  1. Exponential growth
  2. Exponential decay
  3. Constant
  4. Linear growth
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If f(x)=(14)2x, what type of change does the function represent?
  1. Exponential growth
  2. Exponential decay
  3. Constant
  4. Linear growth
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1b
Find the function (fg)(x) and its domain if f(x)=√-x and g(x)=√x+5.
  1. -xx+5;  -5<x≤0
  2. -xx+5;  x≠-5
  3. √-xx+5;  -5<x≤0
  4. √-xx+5;  x<-5orx≥0
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
Find f/g(x) for f(x)=x2−1 and g(x)=x−1, and its domain.
  1. x-1; all real numbers except x=-1
  2. x+1; all real numbers except x=1
  3. x+2 all real numbers except x=2
  4. x-3; all real numbers except x=-1
Grade 11 Functions and Relations CCSS: HSF-BF.A.1b
For f(x)=3x−6 and g(x)=x−2, find f/g(x) and its domain.
  1. 3; all real numbers except x=2
  2. 1; all real numbers
  3. 3; all real numbers
  4. -3; all real numbers except x=3
Grade 11 Functions and Relations
Determine the domain of the following graph
  1. All real numbers
  2. −8<x≤1
  3. −1<x≤8
  4. −8>x>1
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.3
How can you tell if a relation is a function?
  1. A relation is a function if every x-value has exactly one y-value.
  2. A relation is a function if every y-value has exactly one x-value.
  3. A relation is a function if it has a unique x-value.
  4. A relation is a function if it has a unique y-value.
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(16)?
  1. 5
  2. 7
  3. 9
  4. 11
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
If f(6) = -1, what is f⁻¹(-1)?
  1. 6
  2. -6
  3. 1
  4. -1
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(9)?
  1. 1
  2. 2
  3. 3
  4. 4
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f-1(4)?
  1. -4
  2. 2
  3. -2
  4. Both A and B
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f-1(4)?
  1. -7
  2. 1
  3. -1
  4. 7
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(64)?
  1. 5
  2. 6
  3. 7
  4. 8
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(2)?
  1. 1
  2. 2
  3. 3
  4. 4
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