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Eleventh Grade (Grade 11) Function and Algebra Concepts Questions

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Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(7)?
  1. 1
  2. 2
  3. 3
  4. 7
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4c
What is f⁻¹(-52)?
  1. -4
  2. 5
  3. -52
  4. Undefined
Grade 11 Functions and Relations
Determine the domain of the following
  1. −1<x<8
  2. −6<x<8
  3. −10<x≤5
  4. −7<x≤6
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
For f(x)=x3 and ,g(x)=3√x, what is (g∘f)(−2)?
  1. -2
  2. 2
  3. 3√−2
  4. Undefined
Grade 11 Functions and Relations CCSS: HSF-BF.A.1, HSF-BF.A.1c
Given f(x)=x2 and g(x) = 2x, what is (f∘g)(5)?
  1. 10
  2. 5
  3. 2.5
  4. 20
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
The graph is plotted for y = |x + 2|.
Which domain restriction creates an invertible function?
  1. x ≤ -2
  2. x ≥ -2
  3. -3 ≤ x ≤ -1
  4. Both A and B
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Given f(x)=1x2 Which domain makes f(x) invertible?
  1. x > 0
  2. x < 0
  3. Both A and B
  4. x ≠ 0
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
The graph is plotted for y=ex with domain x ≤ 2.
Is this restricted function invertible?
  1. Yes, because it's strictly increasing
  2. No, because it fails the horizontal line test
  3. Only if further restricted
  4. No, because it's not continuous
Grade 11 Functions and Relations CCSS: HSF-BF.B.4, HSF-BF.B.4d
Given f(x)=x2−6x+9 Which domain makes f(x) invertible?
  1. x ≤ 0
  2. x ≥ 3
  3. x > 6
  4. x ≠ 3
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is a function?
  1. A function is a rule that assigns to each input exactly one output.
  2. A function is a set of ordered pairs.
  3. A function is a graph.
  4. A function is a mapping from a set to itself.
Grade 11 Functions and Relations CCSS: HSF-IF.C.8, HSF-IF.C.8b
If g(x)=(0.75)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.7e
What type of function models exponential growth?
  1. Linear function
  2. Logarithmic function
  3. Power function
  4. Exponential function
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
What are the x-intercepts of the quadratic function f(x)=x2−6x+9?
  1. x=1
  2. x=3
  3. x=6
  4. x=9
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Determine the zeros of the quadratic function f(x)=x2−16.
  1. Zeros:x=±4
  2. Zeros:x=±8
  3. Zeros:x=0,4
  4. Zeros:x=-4,16
Grade 11 Quadratic Equations and Expressions CCSS: HSF-IF.C.8, HSF-IF.C.8a
Factor the quadratic function f(x)=3x2−9x+6, and find the zeros.
  1. Zeros: x=1,3
  2. Zeros: x=−1,3
  3. Zeros: x=1,2
  4. Zeros: x=0,2
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