# Thread: graph question

1. ## graph question

Greetings all,

Have a hard time with a homework question with this graph:

The problem states: Consider the section of the function shown below.

a) How many distinct (different) real zeros does the function have? ___

b) Approximate their values. _____

c) If the degree of the function is known to be 6, then state how many real zeros and how many complex zeros it would have.
Complex zeros. _____
Real Zeros. _____

d) Is it possible that this is a portion of a 7th degree function? why?

That is a lot of question that I am baffled on. Some direction or steps would be great if possible.

2. Originally Posted by Cade02
Greetings all,

Have a hard time with a homework question with this graph:

The problem states: Consider the section of the function shown below.

a) How many distinct (different) real zeros does the function have? ___
Tangent to x-axis = negative double root
2 positive real roots

Originally Posted by Cade02
b) Approximate their values. _____
Look at the graph.
Originally Posted by Cade02

c) If the degree of the function is known to be 6, then state how many real zeros and how many complex zeros it would have.
Complex zeros. _____
Real Zeros. _____
We've already stated the real zeros. That would leave 2 complex zeros if the degree were 6.
Originally Posted by Cade02

d) Is it possible that this is a portion of a 7th degree function? why?
No. There are 3 direction changes in the graph. This is an even function.