The function f(x) is graphed below.

In two or more complete sentences, describe how to find the interval(s) where the function is increasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is increasing.

Question

The function f(x) is graphed below.
 
In two or more complete sentences, describe how to find the interval(s) where the function is increasing and how interval notation is used to express the interval(s). In your final answer, include the interval in which the function is increasing.

natasha18 · Answer

attachment

natasha18 · Answer

I really need help!!

natasha18 · Answer

@hxkage ???

natasha18 · Answer

@.Sam. @skullpatrol @jabez177

hxkage · Answer

I don't know, sorry. ;-; Maybe, @welshfella could help you out

natasha18 · Answer

ok

welshfella · Answer

slope like \  means that function is decreasing 
So look at the graph - on the left 
From x = -8 to x = -5  the function is decreasing

agreed?

natasha18 · Answer

yes

welshfella · Answer

the line is going down from left to right 
Note there is a clear circle at x = -5  - that means that  the interval does not include x = -5. It does include x = -8 though because there is a filled circle at that point.

welshfella · Answer

what about the interval x = -5 to x = 0  - its like /   so its increasing.

welshfella · Answer

To express this in interval notation you use a square bracket to INClUDE the value and a round one to not include

So for x = -5 to x = 0  the interval of increase is (-5,0]

Round bracket because the -5 is not included and sqaure bracket beacuse x = 0 is included.

welshfella · Answer

This is the only interval where the function is increasing

natasha18 · Answer

okay i see

natasha18 · Answer

so really the way to find if it's increasing is just to look at the direction of the line?

welshfella · Answer

yes that is all

natasha18 · Answer

so how to find the interval of which the function is increasing?

welshfella · Answer

thats the first thing you'll say,  then summarise interval notation and explain how you get the notation (5,0]

welshfella · Answer

I described that above Can you see that the x values for the interval are -5 and 0?

welshfella · Answer

|dw:1472834442519:dw|

welshfella · Answer

- increasing from -5 to 0

natasha18 · Answer

so 5?

welshfella · Answer

???  No  the interval is (-5,0]

natasha18 · Answer

ooooh i thought it was just one number

welshfella · Answer

No - an interval includes 2 numbers

welshfella · Answer

aother way to expresst he interval would be   -5 < x <= 0  . I think they want the kind we have used above but you can add this one in if you like.

welshfella · Answer

gotta go

natasha18 · Answer

ok thanks for the help!