Sketch the graph of the polynomial function $$ p() = 0 $$
Answer
Tap the blue points to see coordinates.
Explanation
STEP 1:Find the y-intercepts
To find the y-intercepts, substitute $ = 0 $ into $ \color{blue}{ p() = 0 } $, so:
$$ \text{Y inercept} = p(0) = 0 $$STEP 2:Find the end behavior
The end behavior of a polynomial is the same as the end behavior of a leading term.
$$ \lim_{x \to -\infty} \left( 0 \right) = \lim_{x \to -\infty} 0 = \color{blue}{ \infty } $$The graph starts in the upper-left corner.
$$ \lim_{x \to \infty} \left( 0 \right) = \lim_{x \to \infty} 0 = \color{blue}{ \infty } $$The graph ends in the upper-right corner.
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Graphing Polynomials