See the graph of a certain function.
Write down the following
the intervals where the curve is decreasing, where the curve is increasing and the type of decrease or increase;
the extreme values;
for which values of `x` the rate of increase or decrease is largest.
Given is the function with description .
Write down
the intervals where the curve is decreasing, where the curve is increasing and the type of decrease or increase;
the extreme values;
for which values of the rate of increase or decrease is largest.
Given is the function .
You can look at the graph of this function on your graphic calculator. What are the extreme values of this function?
There is exactly one interval on which the function is increasingly decreasing. What is this interval?
This is a graph of a parachute jump from a height of meter. The jumper first goes into free fall and then opens his parachute.
After how many seconds did the jumper open his parachute? How can you tell from the graph?
During freefall the curve shows an accelerated descent. What does this mean for the speed of falling?
When the parachute is open, the speed of falling is constant. How can you tell from the graph? What is the speed of falling once the parachute is open?
On a certain day the temperature in °C behaves as follows:
at 6:00 am ( ) the temperature was °C;
it is increasingly increasing from until ;
it is decreasingly increasing from 12:00 am to 2:30 pm and increasingly decreasing from ;
it is decreasingly decreasing from until the end of the day.
Make a sketch of the possible graph of this function and explain at which values of the function must have extreme values.