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Common Core Standard HSF-IF.C.7 Questions

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

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Grade 10 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a
Grade 9 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

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

When graphing P(x), which of the following would be the best scale for the y-axis?
  1. -10, -9, ..., 9, 10
  2. -1,000, -900, ..., 900, 1,000
  3. -5,000, -4,500, ..., 4,500, 5000
  4. -10,000, -9,000, ...., 9,000, 10,000
Grade 9 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a
Which of the following pieces of information would be enough to graph a linear function? Choose all correct answers.
  1. The location of two points.
  2. The slope and location of one point.
  3. The location of one point, and whether the function is increasing or decreasing.
  4. The slope and whether the function passes through the origin or not.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c
When graphing a polynomial function of degree 8, whose leading coefficient is -3, which of the following is correct?
  1. The function tends toward positive infinity as x approaches negative and positive infinity.
  2. The function tends toward negative infinity as x approaches negative and positive infinity.
  3. The function tends toward negative infinity as x approaches negative infinity, and the function tends toward positive infinity as x approaches positive infinity.
  4. The function tends toward positive infinity as x approaches negative infinity, and the function tends toward negative infinity as x approaches positive infinity.
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d
Under which circumstances will the graph of the rational function f(x)=p(x)q(x), where p(x) and q(x) are both polynomial functions, have at least one vertical asymptote?
  1. If p(x) and q(x) both have the same zeros.
  2. If p(x) has more zeros than q(x).
  3. If the degree of p(x) is greater than the degree of q(x).
  4. If q(x) has a zero which is not a zero of p(x).
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