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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.7b
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7b
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 $p(x)$.
Grade 9 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a
Grade 10 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a