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Common Core Standard HSF-IF.A.3 Questions

Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. For example, the Fibonacci sequence is defined recursively by f(0) = f(1) = 1, f(n+1) = f(n) + f(n-1) for n ≥ 1.

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Grade 9 Sequences and Series CCSS: HSF-IF.A.3
What is the common difference in the following sequence? 13, 15, 17, 19, ...
  1. d = 1
  2. d = -2
  3. d = 2
  4. d = 0
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the equation of the line that passes through the points (3, 4) and (5, 8)?
  1. y = 2x + 2
  2. y = 2x
  3. y = x + 2
  4. y = x
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the equation of the line that is perpendicular to the line y = 3x + 2 and passes through the point (-1, 1)?
  1. y = -3x + 4
  2. y = 3x - 4
  3. y = -0.33x + 1
  4. y = 0.33x + 1
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the definition of a one-to-one function?
  1. A function where each input has a unique output.
  2. A function where each output has a unique input.
  3. A function where there is a unique x-value for each y-value.
  4. A function where there is a unique y-value for each x-value.
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the solution set of the equation x^2 - 4x + 4 = 0?
  1. {-2, 2}
  2. {-4, 4}
  3. {-1, 1}
  4. {2, 4}
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the equation of the parabola with vertex at (-2, 3) and x-intercepts at (-5, 0) and (1, 0)?
  1. y = (x + 2)(x - 1)
  2. y = -(x + 2)(x - 1)
  3. y=(x+2)2
  4. y=-(x+2)2
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the definition of an inverse function?
  1. The reverse of the original function.
  2. The original function multiplied by -1.
  3. The square of the original function.
  4. The reciprocal of the original function.
Grade 9 Sequences and Series CCSS: HSF-IF.A.3
Find the 20th term of the sequence: 3, 8, 13, 18,...
  1. 95
  2. 96
  3. 97
  4. 98
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Determine d for the following sequence: 4,7,10,13,16....
  1. 3
  2. 4
  3. 16
  4. 1
  5. none of these are correct
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.A.3
What is the definition of a vertical asymptote?
  1. A line that the graph of a function approaches but never touches as x approaches infinity or negative infinity.
  2. A line that the graph of a function touches but never crosses.
  3. A line that the graph of a function intersects.
  4. A line that the graph of a function never touches.
Grade 11 Sequences and Series CCSS: HSF-IF.A.3
Find the next three terms in this sequence: 5120, 1280, 320, 80...
  1. -160, -400, -640
  2. 20, 5, 1.25
  3. 40, 20, 10
  4. 76, 72, 68
Grade 9 Sequences and Series CCSS: HSF-IF.A.3
What is the seventh term of the sequence 24, 12, 6, 3,...?
  1. 0
  2. 0.25
  3. 0.375
  4. 1.5
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