<span>The y-intercept of is .
Of course, it is 3 less than , the y-intercept of .
Subtracting 3 does not change either the regions where the graph is increasing and decreasing, or the end behavior. It just translates the graph 3 units down.
It does not matter is the function is odd or even.
is the mirror image of stretched along the y-direction.
The y-intercept, the value of for , is</span><span>which is times the y-intercept of .</span><span>Because of the negative factor/mirror-like graph, the intervals where increases are the intervals where decreases, and vice versa.
The end behavior is similarly reversed.
If then .
If then .
If then .
The same goes for the other end, as tends to .
All of the above applies equally to any function, polynomial or not, odd, even, or neither odd not even.
Of course, if polynomial functions are understood to have a non-zero degree, never happens for a polynomial function.</span><span> </span>
set up an equation for the perimeter
l = length w = width
2l + 2w = 64
set up another equation as you know the length is 3 times the width
w = 3l
subsitute w = 3l into the 2l + 2w = 64
2l + 2(3l) = 64
solve for l
2l + 6l = 64
8l = 64
<em><u>length</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>8</u></em>
subsitute into w = 3l
w = 3(8)
<em><u>width</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>4</u></em>
Is it multiple choice or do you have to write a answer?
You can't the answer is 2 because 20 goes into 10 twice
Given the equation A (x) = 30 x 8.3 ^x, we can get the
initial amount of A when x is equal to zero. Therefore:
A (0) = 30 * 8.3^0
A (0) = 30
In this case the equation grows by 8.3 times as x increases.
Therefore the growth factor is 8.3.
Answers:
initial amount = 30
growth factor = 8.3
The answers are not in the given choices. I believe you are
giving the wrong equation. If the correct equation here is:
A (x) = 680 x 4.3 ^x
Then the answers are:
initial amount = 680
growth factor = 4.3
The answers are now in the choices given.
