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Chapter 14: Q. 12 (page 889)

True or False Every polynomial function is continuous at every real number.

Short Answer

Expert verified

The statement is True.

Step by step solution

01

Step. 1 Polynomial function

Polynomial function is a function which has only non-negative integral powers of the variable in an equation.

02

Step. 2 Conclusion

So by the definition of the polynomial function, these functions does not have any critical points or the points which make it in indeterminant form. Thatswhy, All polynomial functions are continuous at every real number.

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Most popular questions from this chapter

Use the graph shown to determine if the limit exists. If it does, find its value.

In Problems 7– 42, find each limit algebraically.

$\lim_{x \to 2} {(3 x - 2)}^{5 / 2}$ .

For the function $f (x) = {x^{2}, i f x \leq 0 x + 1, i f 0 < x < 2 5 - x, i f 2 \leq x \leq 5$ find $f (0)$ and $f (2)$

Use a graphing utility to find the indicated limit rounded to two decimal places.

$\lim_{x \to - 1} \frac{x^{3} + 2 x^{2} + x}{x^{4} + x^{3} + 2 x + 2}$

Use a graphing utility to find the indicated limit rounded to two decimal places.

$\lim_{x \to 2} \frac{x^{3} - 2 x^{2} + 4 x - 8}{x^{2} + x - 6}$

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