Substitute that value of the variable and evaluate the polynomial.
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Yes, all polynomial functions are continuous.
A local minimum.
That's the definition of a "rational function". You simply divide a polynomial by another polynomial. The result is called a "rational function".
They tell you where the graph of the polynomial crosses the x-axis.Now, taking the derivative of the polynomial and setting that answer to zero tells you where the localized maximum and minimum values occur. Two values that have vast applications in almost any profession that uses statistics.
You set x = 0 and evaluate the polynomial. Note that this should be "y-intercept" in the singular, not in the plural.