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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 10 Sequences and Series CCSS: HSF-IF.A.3
Determine the 20th term for the following sequence: 1,8,15,22,29...
  1. 79
  2. 325
  3. 57
  4. 215
  5. none of these are correct
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Which of the following sequences shows answers to the function f(x)=2⋅3x?
  1. 4,8,16,32...
  2. 6,18,54,162...
  3. 12,24,48,96...
  4. 9,27,81,243...
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the solution set of the equation y=-x2-2x+3?
  1. x = -3, x = -1
  2. x = -1, x = 1
  3. x = 1, x = 3
  4. x = 3, x = 5
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-IF.A.3
What is the definition of a horizontal 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
In an arithmetic sequence, if the 4th term is 3 and the 22nd term is 15, then what is the 1st term?
  1. 23
  2. 1
  3. -3
  4. -43
  5. none of these are correct
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Which of the following functions express the sequence -12,-9,-6,-3,0...?
  1. f(x)=12x+10
  2. f(x)=-9x2
  3. f(x)=3x-15
  4. f(x)=45x-3
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the equation of the line that passes through the point (1, 2) and has a slope of 3?
  1. y = 3x + 1
  2. y = 3x + 2
  3. y = 3x - 1
  4. y = 3x - 2
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What does f(x) = x + 3 represent?
  1. The y-coordinate of the point (x, y)
  2. The x-coordinate of the point (x, y)
  3. The slope of the line passing through (x, y)
  4. The rule that assigns an output to each input x
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the definition of a local minimum?
  1. A value in the domain of a function that is smaller than all other values in its vicinity.
  2. A value in the domain of a function that is larger than all other values in its vicinity.
  3. A value in the range of a function that is smaller than all other values in its vicinity.
  4. A value in the range of a function that is larger than all other values in its vicinity.
Grade 11 Sequences and Series CCSS: HSF-IF.A.3
If a1=100 and r=12, find the 5th term of this geometric sequence.
  1. 1
  2. 1600
  3. 614
  4. 10,000
  5. none of these are correct
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What is the function that creates the sequence 14,15,17,21,29...?
  1. f(x)=10+52x
  2. f(x)=14+2x-1
  3. f(x)=15+3x+1
  4. f(x)=13+2x-1
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the solution set of the equation x^2 + 4x - 5 = 0?
  1. {-5, 1}
  2. {-1, 5}
  3. {-5, -1}
  4. {1, 5}
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What does the equation y = 2x + 1 represent?
  1. A function that maps inputs to outputs
  2. The slope of the line passing through (x, y)
  3. The y-intercept of the line passing through (x, y)
  4. Both B and C
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
Find the tenth term of the geometric sequence if the first term is 5 and the common ratio is 2.
  1. 1,000,000
  2. 1,000,000,000
  3. 2,560
  4. 25,6000
Grade 9 Sequences and Series CCSS: HSF-IF.A.3
In the following sequence, what is the common difference? -2, 1, 4, 7, ...
  1. -2
  2. 3
  3. 7
  4. None of the above
Grade 10 Sequences and Series CCSS: HSF-IF.A.3
What is the nth term of the arithmetic progression, -3,-8,-13,...?
  1. 2+5n
  2. 8+5n
  3. 2-5n
  4. 8-5n
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