Question
What is an example of a graph look like that is continuous on all real numbers,...
What is an example of a graph look like that is continuous on all real numbers, has critical numbers (for example at x =-5, and x=10, but not local max or min
Homework Answers
Answer #1
Since given that critical number of function are: x = -5 and x = 10, So
at these point slope of graph will be zero.
Now also given that this function has no local max or min, So
We know that generally at critical point functions have local maxima or local minima, but since in this case we don't have local max or min, then possible graph of the function will look like:
for better understanding see
that above graph change it's concavity at critical number and see
below graph of function f(x) = x^3, for which x = 0 is a critical
number, but it is not a local max or min for the fucntion.
Let me know if you've any query
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