How do you sketch the graph that satisfies f'(x)>0 when x does not equal 2, f(2)=1?
2 Answers
Since the derivative is greater than
A perfect example of this would be the cubic function
Hopefully this helps!
I would apologize for being pedantic, but this is an educational website.
Explanation:
The question does not give any information about
It is important to understand the use of language and logic in mathematics.
Saying
So,
(1) Any line with positive slope through
for example
graph{y-1=3(x-2) [-1.907, 9.19, -2.45, 3.1]}
Replace
Any other curve with positive slope everywhere will also work, for example
graph{e^(x-2) [-1.29, 8.574, -2.14, 2.793]}
(2) We could also have a piecewise function with positive slope except at a discontinuity at
This has
Or
graph{(x-2)^(1/3)+1 [-2.68, 5.113, -0.86, 3.037]}
(3) Or we could have a translation of an odd power function.
These have
graph{(x-2)^(7/3)+1 [-1.216, 3.65, -0.128, 2.305]}