Analysis of graph can give good information about the function used for making it. The equation representing the given graph is y = 1/(x+2) + 3
How to find which equation was used to form a given graph?
We do analysis of graph on many basis. Graph of a function or relation is mapping's plot. We can use very easy to very advance methods. Like, we can use the fact that a straight line has linear equation, and that function has maxima as peak, and minima as valley, and that if rate of rate is negative, there is peak on the critical points etc.
For the given graph, it is visible that the function grows so large (positively and negatively) when input (x) goes near -2.
Out of the given function, function A has such property.
It is because its denominator contains x+2 only which will go to 0 as x will go to -2(as denominator becomes smaller and smaller, the magnitude of the number becomes bigger and bigger).
No other graph will become large as they go towards x = -2.
As x comes from negative side towards -2, the graph goes -ve infinity and as x+2 is < 0 and as x comes
And therefore, the equation representing the given graph is [tex]y = \dfrac{1}{(x+2)} + 3[/tex]
Learn more about plotting functions here:
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