will be increasing on the intervals where
and decreasing wherever
. Local extrema occur when
and the sign of
changes to either side of that point.
is positive when
is between -4 and some number between -2 and -1, and also 2 (exclusive) and 4, so you can estimate that
is increasing on the intervals [-4, -2] and (2, 4].
is negative when
is between some number between -2 and -1, up to some number less than 2. So
is decreasing on the interval [-1, 1].
You then have two possible cases for extrema occurring. The sign of
changes for some
between -2 and -1, and again to either side of
.
Answer:
Step-by-step explanation:
Required
Determine the sets of natural number
Represent this set with letter N
From definition of natural numbers, they are integer numbers starting from 1;
In other words: 1,2,3,4,5, and so on.
To represent this as a set of N, we have
<em>The ..... means that the counting still continues</em>
Answer: 3
Step-by-step explanation:
Given :
343
We need to write 343 in index form of 7.
343 is the same as , replacing 343 with , we have
Recall one on the law of Logarithm :
can be written as c b
So, can be written as ;
3 7
Also from the laws of Logarithms , a = 1
so , Log_{7}[/tex] 7 = 1
The solution then becomes
3 x 1 = 3
Therefore :
343 = 3
Twice a number decreased by 11 is -23
Let the number be x
So we get the equation
2x -11 = -23
Add 11 to both sides
2x = -12
Divide both sides by 2
x = -6
So the number is -6
Negative 6