exam Maths Puzzle Numerical Ability

Can someone help me on this problem?
I have a problem in class where we were to discuss a real-life situation where a straight-line graph might be applicable. I used a situatio

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triangle ABC is an isosceles triangle with vertex angle B, AB = 5x - 28, AC = x + 5, and BC = 2x + 11. Find the length of the base. Please help me solve this problem. f(x) 2x^3-24x+5:
a) The interval(s) on which function increasing?
b) The interval(s) on which function decreasing?
c) Find the local minima,