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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 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d

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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 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the integral of 1/x dx?
  1. ln|x| + C
  2. x^2/2 + C
  3. e^x + C
  4. 1/(2x) + C
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the zeros of the function
  1. x=±4
  2. x=±2
  3. x=-4,4
  4. x=-2,2
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the x-intercepts and y-intercepts of the function
  1. X-intercepts: x=1; Y-intercept: y=1
  2. X-intercepts: x=-1,1; Y-intercept: y=-1
  3. X-intercepts: x=-1; Y-intercept: y=1
  4. X-intercepts: x=-1; Y-intercept: y=1
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 »

Grade 12 Logarithms CCSS: HSF-IF.C.7d
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the value of ln(e^5)?
  1. 5
  2. e
  3. ln(5)
  4. Undefined
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the vertical asymptotes of the function
  1. x=1,2
  2. x=1,
  3. x=-1,2
  4. x=2
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the zeros, vertical asymptotes, and end behavior of the function
  1. Zeros: None; Vertical Asymptotes: x=±2; End Behavior: y5asx
  2. Zeros: None; Vertical Asymptotes: x=±2; End Behavior: y1asx
  3. Zeros: None; Vertical Asymptotes: x=±2; End Behavior: y3asx
  4. Zeros: None; Vertical Asymptotes: x=±2; End Behavior: y0asx
Grade 12 Logarithms CCSS: HSF-IF.C.7d
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
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