Question

Need some help on this too!
In your lab, a substance's temperature has been observed to follow the function T(x) = (x + 5)3 + 7. The turning point of the graph is where the substance changes from a liquid to a solid. Explain to your fellow scientists how to find the turning point of this function, using complete sentences.

Answer 1

Find it's roots. That will tell you where the turning points are.

Answer 2

How do I find its roots?

Answer 3

Let T(x) = 0
Then substitute in the equation.
0 = (x+5)^3 +7
0 = x+5 + cuberoot(7)
x = -5-cureboor(7) approximately 6.913
That is the turning point.

Answer 4

Oops put negative sign on 6.913

Answer 5

Thank you! Is that all?

Answer 6

Yup.

Answer 7

could you help with one more?

Answer 8

Just tell them that to find the turning poin(s)t, you have to find the roots of the equation. Then elaborate the method in finding the roots. :)

Answer 9

Le try

Answer 10

But better close this one and post that as another question

Answer 11

got it!