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Common Graphs : In this section we introduce common graph of many of the basic functions. They all are given below as a form of example
Example Graph y = - 2/5 x + 3 .
Solution: It is a line in the slope intercept form
y = mx + b
In this the line contain a y intercept of (0,b) and a slope of m. Remember that slope can be thought of as
m =rise /run
Note as well that if the slope is -ve we tend to think of the rise as a fall.
The slope let us to get a second point on the line. Once we contain any point on the line and the slope we move right by run & up/down by rise based on the sign. It will be a second point on the line.
In this we know (0,3) is a point on the line and the slope is -2/5. Thus beginning at (0,3) we'll move 5 to the right (that means 0 → 5 ) and down 2 (that means 3 → 1 ) to get (5,1) as a second point on the line. Once we've got two points on a line all we have to do is plot the two points & connect them along with a line.
Following is the sketch for this line.
how much is 6x12
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Solve by factorization X 2 +(a/a+b + a+b/a)x+1 = 0 X 2 +(a/a+b + a+b/a)x+1 => X 2 +(a/a+b x a+b/ax + a/a+b .a+b/a) => X[x+a/a+b] +a+b/a[a+a*a+b]= 0 => X= -a
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