False, because the degree of this polynomial function is the highest degree among the terms, which is \(\displaystyle{6}{\left(-{2}{x}^{{6}}\right)}\), in this instnance.

asked 2021-06-14

For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither.

\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{2}}-{3}{x}-{5}\)

\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{2}}-{3}{x}-{5}\)

asked 2021-08-15

\(\displaystyle{f{{\left({x}\right)}}}={100}{\left({1.25}\right)}^{{x}}\)

Is it true or false, the growth factor is 25%? If not, what is and what is 25%?

Is it true or false, the growth factor is 25%? If not, what is and what is 25%?

asked 2021-05-04

For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither.

\(\displaystyle{f{{\left({x}\right)}}}=-{3}{x}^{{2}}+{6}{x}\)

\(\displaystyle{f{{\left({x}\right)}}}=-{3}{x}^{{2}}+{6}{x}\)

asked 2021-06-07

For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither.

\(\displaystyle{f{{\left({x}\right)}}}={x}^{{3}}+{3}{x}^{{2}}-{x}-{3}\)

\(\displaystyle{f{{\left({x}\right)}}}={x}^{{3}}+{3}{x}^{{2}}-{x}-{3}\)

asked 2021-08-10

Determine whether the statement is true or false.

If it is false, explain why or give an example that shows it is false.

The graphs of polynomial functions have no vertical asymptotes.

If it is false, explain why or give an example that shows it is false.

The graphs of polynomial functions have no vertical asymptotes.

asked 2021-05-17

For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither. \(\displaystyle{f{{\left({x}\right)}}}={3}{x}−{x}^{{3}}\)

asked 2021-09-19

For the following exercise, for each polynomial, a. find the degree. b. find the zeros, if any. c. find the y-intercept(s), if any. d. use the leading coefficient to determine the graph’s end behavior. and e. determine algebraically whether the polynomial is even, odd, or neither.

\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{2}}-{3}{x}-{5}\)

\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{2}}-{3}{x}-{5}\)