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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.
Given f ( x ) = 3x - 2 determine f -1 ( x ) . Solution Now, already we know what the inverse to this function is as already we've done some work with it. Though, it
project
If 7sin 2 ?+3cos 2 ? = 4, show that tan? = 1/√3 . Ans: If 7 Sin 2 ? + 3 Cos 2 ? = 4 S.T. Tan? 1/√3 7 Sin 2 ? + 3 Cos 2 ? = 4 (Sin 2 ? + Cos 2 ?)
what is a redtilinear figure? like what are for the requirments for a shape to be called that? example a regular polygon has all sides and angles equal. i cant find that kind of dr
3x^2+19x-14=0
Two boats leave the same port at the same time. One travels at a constant speed of 30 km/hr at a bearing of 50° and the other on a bearing of 110° at a constant speed of 26 km/hr.
a3-a2+a-1
simple predicate
what is the derivatives of y=u/5+7 and u=5x-35 using the chain rule?
Examples of logarithms: log 2 8 = 3 since 8 = 2 3 log 10 0.01 = -2 since 0.01 = 10
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