Estimate and classify the critical points for the graph of each function.

A) (0.5, 7), minimum; (2, 1), point of inflection; (3.5, -5), maximum.

B) (0.5, 7), maximum; (2, 1), point of inflection; (3.5, -5), minimum.

C) (0.5, 7), maximum; (3.5, -5) minimum.

D) no critical points.

*Please show any and all work, thank you.*

B

(0.5, 7), maximum; (2, 1), point of inflection; (3.5, –5), minimum

Critical points of a function are those points at which a line drawn tangent to the curve is horizontal or vertical. On the graph, maximum and minimum points look like peaks and valleys, respectively. Points of inflection that are critical points are places where the curve flattens out and changes from being bent upward to being bent downward or vice versa.

Just passed the test

9987

step-by-step explanation:

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.