(a) Graph the two functions (x) x 7 3 and g(x) x 5 3 on the window 2, 2 by 2, 2 (b) Verify that both and g have an inflection point at (0, 0) (c) How is the value of (x) different from g(0) (d) Based on what you have seen so far in this exercise, is it always possible to tell the difference between...

a b Both f x and gx are con ...

(a) Graph the two functions (x) = x 7/3 and g(x) = x 5/3 on the window...

Question:

(a) Graph the two functions ƒ(x) = x^7/3 and g(x) = x^5/3 on the window [-2, 2] by [-2, 2].
(b) Verify that both ƒ and g have an inflection point at (0, 0).
(c) How is the value of ƒ(x) different from g(0)?
(d) Based on what you have seen so far in this exercise, is it always possible to tell the difference between a point where the second derivative is 0 or undefined based on the graph? Explain.

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