This graph has its maximum at 4. There is no minimum while the inflection is at 2, 10/3.
How to solve for the maximum of the graph
We have ( x-2²) (x-4)
x-2²) = 0, or x - 4
x - 2 = 0, x = 2
Hence we can see that the graph has its minimum at x = 4
b. The graph here does not have a local maximum
c. Next we have to find the point of inflection
To do this you have to differentiate the equation
Use the product rule of differentiation in order to solve for the solution.
(x-2)²[ (x-4) 2 (x-2)]
This would then give us
x -2, 3x -10
In both equations we have to make x the subject of the equation
X = 2, x = 10/3
Hence the point of inflection is 2 and 10/3
Read more on minimum and maximum points here:
https://brainly.com/question/12120831
#SPJ1
