Consider the function $\displaystyle {f{{\left({x}\right)}}}={\frac{{{2}{x}+{6}}}{{{5}{x}+{1}}}}$. For this function there are two important intervals: $\displaystyle {\left(-\infty,{A}\right)}$ and $\displaystyle {\left({A},\infty\right)}$ where the function is not defined at $\displaystyle {A}$.
Find $\displaystyle {A}$ Preview Question 6 Part 1 of 5  

For each of the following intervals, tell whether $\displaystyle {f{{\left({x}\right)}}}$ is increasing or decreasing.
$\displaystyle {\left(-\infty,{A}\right)}$: Select an answer Increasing Decreasing
$\displaystyle {\left({A},\infty\right)}$ Select an answer Increasing Decreasing

Note that this function has no inflection points, but we can still consider its concavity. For each of the following intervals, tell whether $\displaystyle {f{{\left({x}\right)}}}$ is concave up or concave down.
$\displaystyle {\left(-\infty,{A}\right)}$: Select an answer Concave Up Concave Down
$\displaystyle {\left({A},\infty\right)}$ Select an answer Concave Up Concave Down