What is the first (lowest) quartile for this data set? 45, 57, 69, 75, 80, 82, 88, 91, 100
1 answer:
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Answer: 3/10
Step-by-step explanation:
Take the derivative of to get
. Set that equal to 0 to find the critical points of the function. The critical points is when the slope is either 0 or undefined.
Now do:
There are quite a few more steps to actually find the minimum, but for this example you can automatically assume its a minimum because it is the only critical point of the function. Ill show you these extra steps tho.
Plug in two numbers into the derivative. One that is less than 3/10 and one that is greater than 3/10. The numbers 0 and 1 are fine. When x = 0, the function is -6. When x = 1, the function is +14. A switch from negative to positive indicates a minimum value
we know that
In the graph the intersection both functions is the point when f(x)=g(x)
so
see the graph
the point of intersection both graphs is
that means
for the input value of
therefore
<u>the answer is</u>
the input value is