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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
A given arithmetic sequence is described by the function f(1)=-8;  f(n)=f(n-1)+4,n≥2. Does the function f(1)=-8;f(n)=f(n-2)+8,n≥3 describe the same sequence? If not, why?
  1. Yes, these are the same sequences.
  2. No, the second sequence doesn't define its second term, and therefore isn't complete.
  3. No, they have different recursive relationships.
  4. No, they have different domains.
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the equation of the line that is perpendicular to the line y = -2x + 3 and passes through the point (2,5)?
  1. y = -1/2x + 5
  2. y = 2x + 5
  3. y = -2x + 7
  4. y = 2x - 1
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the equation of the circle with center at (2, -3) and passing through the point (4, 1)?
  1. (x-2)2+(y+3)2=25
  2. (x-2)2+(y+3)2=9
  3. (x-2)2+(y+3)2=36
  4. (x-2)2+(y+3)2=16
Grade 11 Functions and Relations CCSS: HSF-IF.A.3
What is the equation of a horizontal line?
  1. y = mx + b
  2. x = k
  3. y = k
  4. x = mx + b
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
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