Analyze the signs of y' and y" to determine the intervals on which y increases or decreases, is concave up or down, its local extreme values and its inflection points. Find any asymptotes and intercepts. Please click to see the graph.

asked 2021-06-27

Graph the rational functions. Include the graphs and equations of the asymptotes and dominant terms. \(\displaystyle{y}={\frac{{{1}}}{{{2}{x}+{4}}}}\)

asked 2021-05-02

Graph the rational functions. Include the graphs and equations of the asymptotes and dominant terms. \(\displaystyle{\frac{{{x}+{3}}}{{{x}+{2}}}}\)

asked 2021-09-17

Graph each of the following rational functions. State the equations of the asymptotes.

a) \(\displaystyle{j}{\left({x}\right)}=-{\frac{{{6}}}{{{x}+{4}}}}+{7}\)

b) \(\displaystyle{k}{\left({x}\right)}={\frac{{{x}+{6}}}{{{2}{x}-{4}}}}\)

a) \(\displaystyle{j}{\left({x}\right)}=-{\frac{{{6}}}{{{x}+{4}}}}+{7}\)

b) \(\displaystyle{k}{\left({x}\right)}={\frac{{{x}+{6}}}{{{2}{x}-{4}}}}\)

asked 2021-09-26

Graph the rational functions. \(y=\frac{(x^{3})+x-2)}{(x-(x^{2})}\)

asked 2021-05-13

Graph the rational functions. \(\displaystyle{y}={\frac{{{\left({x}^{{{3}}}\right)}+{x}-{2}}}{\rbrace}}{\left\lbrace{\left({x}-{\left({x}^{{{2}}}\right)}\right\rbrace}\right.}\)

asked 2021-06-17

Write two different rational functions whose graphs have the same end behavior as the graph of $$y=3x^2$$

asked 2021-06-21

True or False. Some rational functions have holes in their graph.