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Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following statements is true regarding the logarithmic function f(x) = log base b (x)?
  1. It has a vertical asymptote at x = 0
  2. It has a horizontal asymptote at y = 0
  3. It has a vertical asymptote at x = 1
  4. It has a horizontal asymptote at y = infinity
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d

This question is a part of a group with common instructions. View group »

Which of the following is correct, concerning the horizontal asymptote of the function f(x)?
  1. The horizontal asymptote is x=1.
  2. The horizontal asymptote is x=73.
  3. The horizontal asymptote is x=-1.
  4. This function has no horizontal asymptote.
Grade 12 Functions and Relations
The function f(x)=2x2-7x+6x2+2x-8 has
  1. a vertical asymptote at x=2, a horizontal asymptote of y=2, and a hole at x=-4.
  2. a horizontal asymptote at x=-4 and a hole at x=2.
  3. vertical asymptotes at both x=2 and x=-4.
  4. a horizontal asymptote at x=2 and a hole at x=-4.
  5. a vertical asymptote at x=-4, a horizontal asymptote of y=2, and a hole at x=2.
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is an asymptote of a function?
  1. A line that the function approaches but never reaches
  2. A line that the function intersects
  3. The slope of a function
  4. The inverse of a function
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 Functions and Relations CCSS: HSF-IF.C.7d
Identify the vertical asymptotes of the function
  1. x=3
  2. x=-3
  3. x=±3
  4. x=0
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the vertical asymptotes of the function
  1. x=2
  2. x=-2
  3. x=±2
  4. x=0
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the vertical asymptotes of the function
  1. x=2
  2. x=-2
  3. x=±2
  4. x=0
Grade 11 Functions and Relations
If f(x) is an exponential function, some of whose values are listed in the table, and g(x)=5-x, which of the following statements is true?

         x                 f(x)        
-111
03
1-1
10-3
100-4.75
1000-4.99
  1. If both functions were graphed, the horizontal asymptote of f(x) would be above the horizontal asymptote of g(x).
  2. If both functions were graphed, the horizontal asymptote of g(x) would be above the horizontal asymptote of f(x).
  3. Both functions have the same horizontal asymptote.
  4. Both functions have the same x-intercept.
Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4
What is a vertical asymptote of a function?
  1. A line on the x-axis that the function approaches but never touches
  2. A line on the y-axis that the function approaches but never touches
  3. A point on the x-axis where the function intersects
  4. A point on the y-axis where the function intersects
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the horizontal asymptote of the function
  1. y=1
  2. y=0
  3. y=3
  4. No horizontal asymptote
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the vertical asymptotes of the function
  1. x=5
  2. x=±5
  3. x=-5
  4. x=0
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the vertical asymptotes of the function
  1. x=4
  2. x=-4
  3. x=±4
  4. x=0
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the vertical asymptotes of the function
  1. x=3
  2. x=-3
  3. x=-3,3
  4. x=0
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 Functions and Relations CCSS: HSF-IF.C.7d
Identify the horizontal asymptote of the function
  1. y=0
  2. y=43
  3. y=1
  4. No horizontal asymptote
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the vertical asymptotes of the function
  1. x=1
  2. x=±1
  3. x=-1
  4. x=0
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the horizontal asymptote of the function
  1. y=12
  2. y=1
  3. y=2
  4. No horizontal asymptote
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