The table gives the values of a function obtained from an experiment. Use them to estimate ${\displaystyle \underset{3}{\overset{9}{}}}f(x)dx$ using three equal subintervals with right endpoints, left endpoints, and mic

$\backslash$table$[[x,3,4,5,6,7,8,9],[f(x),-3\mathrm{.}5,-2\mathrm{.}3,-0\mathrm{.}7,0\mathrm{.}3,0\mathrm{.}8,1\mathrm{.}4,1\mathrm{.}9]]$

$($a$)$ Estimate ${\displaystyle \underset{3}{\overset{9}{}}}f(x)dx$ using three equal subintervals with right endpoints.

$R_3=$

If the function is known to be an increasing function, can you say whether your estimate is less than or greater than the exact value of the integral?

less than

greater than

one cannot say

$($b$)$ Estimate ${\displaystyle \underset{3}{\overset{9}{}}}f(x)dx$ using three equal subintervals with left endpoints.

$L_3=$

If the function is known to be an increasing function, can you say whether your estimate is less than or greater than the exact value of the integral?

less than

greater than

one cannot say

$($c$)$ Estimate ${\displaystyle \underset{3}{\overset{9}{}}}f(x)dx$ using three equal subintervals with midpoints.

$M_3=$

If the function is known to be an increasing function, can you say whether your estimate is less than or greater than the exact value of the integral?

less than

greater than

one cannot Say