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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 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d
Under which circumstances will the graph of the rational function [math]f(x) = (p(x))/(q(x))[/math], where [math]p(x)[/math] and [math]q(x)[/math] are both polynomial functions, have at least one vertical asymptote?
  1. If [math]p(x)[/math] and [math]q(x)[/math] both have the same zeros.
  2. If [math]p(x)[/math] has more zeros than [math]q(x)[/math].
  3. If the degree of [math]p(x)[/math] is greater than the degree of [math]q(x)[/math].
  4. If [math]q(x)[/math] has a zero which is not a zero of [math]p(x)[/math].
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d
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