14. Compare the graph below to the function
1 answer:
Answer:
Option (2)
Step-by-step explanation:
Parent function has been given as,
f(x) =
When translated by 3 units left,
f(x + 3) =
g(x) =
If the translated function is stretched vertically by a scale factor = k
New function will be,
g'(x) =
Since a point (1, 4) passes lies on the transformed function.
g'(1) =
4 = 2k
k = 2
Therefore, transformed function represents the translation by 3 units in the negative side of the x-axis and stretched vertically by 2 units.
Option (2) will be the answer.
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Answer:
a) is increasing in two regions: (i)
and (ii)
.
b) decreases in
.
Step-by-step explanation:
Let , where
is the quantity of insecticide, measured in hundreds of liters, and
is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of
are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:
(1)
Please notice that regions where C(x) is increasing has , whereas
when
.
We notice that is increasing in two regions: (i)
and (ii)
. Besides,
decreases in
.
This is how I did it:
use distribution
use addition
use addition and subtraction
use division
So your answer is
So your answer is