Provide an appropriate response.What can you say about the inflection points of the quartic curve  Give reasons for your answer.

What will be an ideal response?


The curve can have 0 or 2 inflection points. The second derivative is quadratic,  and quadratics may have 0, 1, or 2 roots, depending on the value of the discriminant. If  then y " has no real roots and y has no inflection points. If  then y" has exactly one real root and y has a single inflection point. Finally, if   then y" has two real roots and y has exactly two inflection points.

Mathematics

You might also like to view...

Find the probability.A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected if the first selection is replaced before the second is made.

A. 0.0144 B. 0.7733 C. 0.7744 D. 0.176

Mathematics

Use the table to find the probability.The following table indicates the preference for different types of soft drinks by three age groups.If a person is selected at random, find the probability that the person is over 40 years of age given that they prefer root beer.

A.
B.
C.
D.

Mathematics

Use the distributive property to calculate the value mentally.59 ? 25 + 59 ? 25

A. 0 B. 109 C. 2950 D. 5900

Mathematics

Decide whether perimeter or area would be used to solve a problem concerning the measure of the quantity.Border fence for a garden

A. Area B. Perimeter

Mathematics