This graph has its maximum at 4. There is no minimum while the inflection is at 2, 10/3.
<h3>How to solve for the maximum of the graph</h3>
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
<h3>c. Next we have to find the point of inflection</h3>
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:
brainly.com/question/12120831
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