Keep the inequality sign the same
Given:
The graph of a function.
To find:
The domain on which of the following function is increasing.
Solution:
Domain is the set of x-values or input values.
From the given graph it is clear that the vertex of the given function is at (4,75).
Before the point (4,75) the graph is increasing and after the point (4,75) the graph is decreasing.
The function is defined for 
.
Since the graph is increasing when 
, therefore the function is increasing over the interval [0,4].
Therefore, the domain on which of the following function is increasing is [0,4].
Answer: 36
Step-by-step explanation: when you solve the problem 2/3n-5=19 you get 36.
I’m assuming that you are asking how much 1 shirt costs...
That is 15.
15 multiplied by how many shirts you buy gives the revenue from shirts.
Also known as unit rate
=±22
x
=
±
2
x
2
Using the fact that 2=ln2
2
=
e
ln
2
:
=±ln22
x
=
±
e
x
ln
2
2
−ln22=±1
x
e
−
x
ln
2
2
=
±
1
−ln22−ln22=∓ln22
−
x
ln
2
2
e
−
x
ln
2
2
=
∓
ln
2
2
Here we can apply a function known as the Lambert W function. If =
x
e
x
=
a
, then =()
x
=
W
(
a
)
.
−ln22=(∓ln22)
−
x
ln
2
2
=
W
(
∓
ln
2
2
)
=−2(∓ln22)ln2
x
=
−
2
W
(
∓
ln
2
2
)
ln
2
For negative values of
x
, ()
W
(
x
)
has 2 real solutions for −−1<<0
−
e
−
1
<
x
<
0
.
−ln22
−
ln
2
2
satisfies that condition, so we have 3 real solutions overall. One real solution for the positive input, and 2 real solutions for the negative input.
I used python to calculate the values. The dps property is the level of decimal precision, because the mpmath library does arbitrary precision math. For the 3rd output line, the -1 parameter gives us the second real solution for small negative inputs. If you are interested in complex solutions, you can change that second parameter to other integer values. 0 is the default number for that parameter.
