to get the equation of any straight line, we simply need two points off of it, let's use those two points from the table in the picture below.
You calculate the markup or markdown in absolute terms (you find by how much the quantity changed), and then you calculate the percent change relative to the original value. So they're really just another form of "increase - decrease" exercises.
Example:
A computer software retailer used a markup rate of 40%. Find the selling price of a computer game that cost the retailer $25.
The markup is 40% of the $25 cost, so the markup is:
(0.40)(25) = 10
Then the selling price, being the cost plus markup, is:
25 + 10 = 35
The item sold for $35.
<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>
Answer:
C. And the reference angle is pi/3
Step-by-step explanation:
Let me give you a little quick way to do this. You’re probably trying to memorize the unit circle and figure out what 2pi/3 equals. However, all you need is a bit of math.
Start with the denominator and multiply the numerator by its correct angle
Anything with 3 in it’s denominator, is a multiple of a 60 degree angle. The numerator is 2 so do 60 x 2, which equals 120. Your angle is 120 and will land in the top left quadrant.
Moving on to the reference angle. Think of this as being what you have left on the horizontal axis. The angle took up 120 degrees. Now find the rest. 180 - 120 = 60. Pi/3 equals 60 degrees
