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g(x) = x6 − bx4 + c i. For positive values of b, answer the following:...

g(x) = x6 − bx4 + c

i. For positive values of b, answer the following: (a) How many inflection points does g(x) have?

(a) How many inflection points does g(x) have?

(b) How does increasing the value of a affect the shape of the graph and the position of the inflection points? Illustrate by sketching 3 well-chosen family members, indicating the value of b for each.

iiii. For negative values of b, answer the following:

(a) How many inflection points does g(x) have?

b) How does decreasing the value of b affect the shape of the graph and the position of the inflection points? Illustrate by sketching 3 well-chosen family members, indicating the value of b for each.

iii. Find values of b and c so that (1, 10) is an inflection point of g(x) = x 6 − bx4 + c

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Expert Solution

milcah answered 2 years ago
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