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Common Core Standard HSF-IF.C.7d Questions

(+) Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior.

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Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following is the domain of the logarithmic function f(x) = log base 2 (x)?
  1. All real numbers
  2. All positive real numbers
  3. All negative real numbers
  4. All positive real numbers except 0
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=2
  4. No horizontal asymptote
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the zeros of the function
  1. x=−3,5
  2. x=3,-5
  3. x=15,2
  4. x=−5,3
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which of the following is the logarithmic form of the equation 3^4 = 81?
  1. log3 4 = 81
  2. log4 81 = 3
  3. log81 4 = 3
  4. log3 81 = 4
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the solution to the equation log2(2x+1) - log2(x-2) = 2?
  1. x = -1
  2. x = 1
  3. x = 6
  4. x = 10
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following is the inverse function of the exponential function f(x) = 3^x?
  1. f^-1(x) = log base 3 (x)
  2. f^-1(x) = log base 3 (x)/log base 3 (e)
  3. f^-1(x) = log base e (x)
  4. f^-1(x) = e^x
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the zeros of the function
  1. x=±2
  2. x=2
  3. x=−2
  4. x=−3,2
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Determine the end behavior of the function
  1. y→52
  2. y→0
  3. y→1
  4. y→3
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 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which property of logarithms states that the logarithm of a product is equal to the sum of the logarithms of its factors?
  1. Product property
  2. Quotient property
  3. Power property
  4. Change of base property
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the inverse of the function y = 2^x?
  1. y = log(x)
  2. y = log2(x)
  3. y = ln(x)
  4. y = e^x
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 is an even function
  2. It is an odd function
  3. It is neither an even nor an odd function
  4. It can be both an even and an odd function, depending on the value of b
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the zeros of the function
  1. x=3,−3
  2. x=3
  3. x=9
  4. x=−4,4
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Determine the end behavior of the function
  1. y→0
  2. y→1
  3. y→12
  4. y→2
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 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which of the following is the equivalent form of log2 16 = 4?
  1. 2^4 = 16
  2. 16^2 = 4
  3. log16 2 = 4
  4. 2^log2 16 = 16
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the solution to the equation log3(2x+1) - log3(x) = 2?
  1. x = 1
  2. x = 8
  3. x = 27
  4. x = 32
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