Consider the function $\displaystyle {f{{\left({x}\right)}}}={\frac{{{3}{x}+{7}}}{{{4}{x}+{3}}}}$. 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 (type in INC) or decreasing (type in DEC).
$\displaystyle {\left(-\infty,{A}\right)}$:
$\displaystyle {\left({A},\infty\right)}$

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 (type in CU) or concave down (type in CD).
$\displaystyle {\left(-\infty,{A}\right)}$:
$\displaystyle {\left({A},\infty\right)}$