195k views
5 votes
Give an example of a polynomial function that meets the above criteria

Give an example of a polynomial function that meets the above criteria-example-1
User South
by
8.3k points

1 Answer

2 votes

Answer:

F(x) = -5x - 8

Step-by-step explanation:

Let's try with the polynomial function

f(x) = -5x - 8

We can calculate f(8) replacing x by 8, so:

f(8) = -5(8) - 8

f(8) = -40 - 8

f(8) = -48

Additionally, f'(x) will be equal to:

f'(x) = -5

And -5 is distinct from 0.

Finally, if f'(x) = -5, f''(x) is the derivative of a constant, so:

f''(x) = 0 for all x

Therefore, an function that satisfies all the conditions is:

F(x) = -5x - 8

User Lxop
by
7.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories