On what interval(s) is f(x) increasing?

[c0nfused2]

Could someone please help and explain this problem to me... Thank You very much =)

 

[pka]

View attachment 1883

Could someone please help and explain this problem to me.

If the derivative is non-negative the function is non-decreasing.

 

[c0nfused2]

can you explain further on that concept?

Thank you

 

[pka]

can you explain further on that concept?

What do you know about the use of a derivative?
What does the 'sign' of the derivative tell us?

 

[c0nfused2]

if the derivative is a + it is increasing at that interval and if it is a - it is decreasing at that interval.

 

[aws41109]

View attachment 1883

Could someone please help and explain this problem to me... Thank You very much =)

If f'(x) is positive, f(x) is increasing; if f'(x) is negative, f(x) is decreasing. Very simple.

Therefore, f(x) is decreasing [3,5] because f'(x) is negative [3,5].

 

[c0nfused2]

would this be the answer or just a sample question?

f(x) is decreasing [3,5] because f'(x) is negative [3,5]

thanks