Question

Graph the polynomial function. f(x)=x^{5}+x

Polynomial graphs
ANSWERED
asked 2020-12-30
Graph the polynomial function.
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{{5}}}+{x}\)

Answers (1)

2020-12-31

Step 1
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{{5}}}+{x}\)
The leading coefficient is 1 (positive) and the degree is 5 (odd)
Therefore \(\displaystyle{f{{\left({x}\right)}}}\rightarrow\infty,{a}{s}\ {x}\rightarrow\infty\)
and \(\displaystyle{f{{\left({x}\right)}}}\rightarrow-\infty,{a}{s}\ {x}\rightarrow-\infty\)
Step 2
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