Question

In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 4)3 + 6. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.

Answer 1

is that \[(x-4)^3 + 6 \] ?

Answer 2

is that x3-65+6

Answer 3

oh lol yes it is

Answer 4

(x-4)^3+6 is right

Answer 5

any ideas?

Answer 6

@sweetburger ? @peachpi

Answer 7

If that were a parabola with the equation
\[y=(x-4)^2+6\]
what would the vertex be?

Answer 8

4

Answer 9

4 would be the x-coordinate. what would be the y?

Answer 10

6

Answer 11

yes?

Answer 12

rights so the turning point is (4, 6)

Answer 13

Is that it?

Answer 14

yes

Answer 15

Ok. I have another question The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and how to construct a rough graph of W(x) so that the Parks Department can predict when there will be no change in the water level. You may create a sample polynomial of degree 3 or higher to use in your explanations.

Answer 16

That looks like a much longer question, and I'm actually about to log off. create your function and then a new question. Somebody asked this yesterday, maybe see what they got.

Answer 17

Really? Okay :) I'll see if I can find it