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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
When graphed, the function [math]f(x) = (x^3 + x^2 -10x + 8)/(x^2-3)[/math] has a slant or oblique asymptote. What is the equation of this asymptote?
  1. [math]y=-7x+11[/math]
  2. [math]y=x+1[/math]
  3. [math]y=x - 8/3[/math]
  4. [math]y = -10x + 8[/math]
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which of the following is the equivalent form of log7 1/49?
  1. -2
  2. 2
  3. 1/2
  4. -1/2
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which of the following is the equation of an exponential decay function?
  1. y = 4(2)^x
  2. y = 2x^2
  3. y = 6(1/2)^x
  4. y = 1/x
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the value of e^ln(x)?
  1. x
  2. ln(x)
  3. e
  4. Undefined
Grade 12 Logarithms CCSS: HSF-IF.C.7d
Which of the following transformations will result in a vertical stretch of the graph of the logarithmic function f(x) = log base b (x)?
  1. f(x) → f(2x)
  2. f(x) → f(x + 2)
  3. f(x) → f(x - 2)
  4. f(x) → 2log base b (x)
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Determine the end behavior of the function
  1. [math] y→3[/math]
  2. [math] y→1[/math]
  3. [math] y→2[/math]
  4. [math] y→0[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the vertical asymptotes of the function
  1. [math] x=3[/math]
  2. [math] x=-3[/math]
  3. [math] x=±3[/math]
  4. [math] x=0[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the x-intercepts and y-intercepts of the function X-intercepts:
  1. X-intercepts: [math]x=−4,4[/math]; Y-intercept: [math]y=−4[/math]
  2. X-intercepts: [math]x=4[/math]; Y-intercept: [math]y=−4[/math]
  3. X-intercepts: [math]x=-4,4[/math]; Y-intercept: [math]y=4[/math]
  4. X-intercepts: [math]x=4[/math]; Y-intercept: [math]y=4[/math]
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 »

What are the zeros of [math]p(x) ?[/math] Choose all correct answers.
  1. 1
  2. -1
  3. -7
  4. 4
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which of the following is the equivalent form of log3 27 - log3 9?
  1. log3(27/9)
  2. log3 3
  3. log3 6
  4. log3 3^2
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
What is the horizontal asymptote of the function y = 2(1/3)^x?
  1. y = 0
  2. y = 1
  3. y = 0 as x approaches infinity
  4. y = 2
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the domain of the function f(x) = ln(x)?
  1. (-∞,0)
  2. [0,∞)
  3. (0,∞)
  4. (-∞,∞)
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the zeros, vertical asymptotes, and end behavior of the function
  1. Zeros: [math]x=1,3[/math]; Vertical Asymptotes: [math]x=±3[/math]; End Behavior: [math]y→0 as x→∞[/math]
  2. Zeros: [math]x=1,3[/math]; Vertical Asymptotes:[math] x=±3[/math]; End Behavior: [math]y→1 as x→∞[/math]
  3. Zeros: [math]x=1,3[/math]; Vertical Asymptotes:[math] x=±3[/math]; End Behavior:[math] y→-1 as x→∞[/math]
  4. Zeros: [math]x=1,3[/math]; Vertical Asymptotes: [math]x=±3[/math]; End Behavior: [math]y→2 as x→∞[/math]
Grade 11 Functions and Relations CCSS: HSF-IF.C.7d
Identify the horizontal asymptote of the function
  1. [math]y=1/2[/math]
  2. [math]y=1[/math]
  3. [math]y=2[/math]
  4. No horizontal asymptote
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 »

What are the zeros of [math]q(x) ?[/math] Choose all correct answers.
  1. -3
  2. -1
  3. 1
  4. 5
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which property of logarithms states that the logarithm of a number to its own base is equal to 1?
  1. Product property
  2. Quotient property
  3. Power property
  4. Identity property
Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d
Which of the following statements is true for exponential functions?
  1. They always have a constant rate of change.
  2. They always have a linear graph.
  3. They can model growth or decay.
  4. They can only be written in logarithmic form.
Grade 12 Logarithms CCSS: HSF-IF.C.7d
What is the range of the function f(x) = ln(x)?
  1. (-∞,0)
  2. (-∞,∞)
  3. [0,∞)
  4. (0,∞)
Grade 12 Logarithms CCSS: HSF-IF.C.7d
How often is interest compounded in continuous compounding?
  1. Daily
  2. Weekly
  3. Monthly
  4. Continuously
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