a) Degree is 3.

b) \(\displaystyle{x}=\pm\sqrt{{3}}\), \(x=0\)

c) y-intercept

d) Graph rises to the left and falls to the right

e) Function is odd.

Question

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 2021-05-04

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 2021-06-14

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 2021-09-24

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. \(\displaystyle{f{{\left({x}\right)}}}={3}{x}−{x}^{{3}}\)