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We've some rather simply tests for each of the distinct types of symmetry.
1. A graph will have symmetry around the x-axis if we get an equal equation while all the y's are replaced with -y.
2. A graph will have symmetry around the y-axis if we obtain an corresponding equation while all the x's are replaced along with -x.
3. A graph will have symmetry around the origin if we obtain an equivalent equation while all the y's are replaced through -y and all the x's are replaced through -x.
We will describe just what we mean through an "equivalent equation" while we reach an example of that. For the majority of the instance which we're liable to run across it will mean that it is precisely the similar equation.
Let's test a few equations for symmetry. Note that we aren't going to graph these as most of them would actually be rather difficult to graph. The point of this instance is only to use the tests to find out the symmetry of each equation.
6x960=k
-5t=-45
show that -b/b-a may be properly changed to b/a-b...show steps
f(x)=-12x^2-24x+7
Solve x 2 -10 Solution There is a quite simple procedure to solving these. If you can memorize it you'll always be able to solve these kinds of inequalities. Step 1:
Given f(x)= 2+3x-x 2 and g(x) =2x-1 evaluate ( fg ) ( x ) , (fog)(x) and (gof )(x) Solution These are the similar functions that we utilized in the first set of instances
If you deposited $500 for 4 years at 6% annual interest, compounded semi-annually, how much money would you have saved?
We've been talking regarding zeroes of polynomial and why we require them for a couple of sections now. However, we haven't really talked regarding how to actually determine them f
f(x)=5x2=5x-2 f(3)
In his boat, Leonard can travel 24 miles upstream in the same time it takes to travel 36 miles downstream. If the rate of the current is 2 mph, find the rate of the boat in still
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