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1 answer:
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Answer:
Step-by-step explanation:
The given equations are:
and
On solving , we get the graph which is red in colour.
By Putting x=o in the equation⇒y=3
Putting x=-3⇒y=4
Now, plotting the graph for the equation , it is plotted as blue colour by putting x=0⇒y=-4 and by putting x=3⇒y=2, Following the same path, we can plot the two graphs for the given equations.
Answer:
The limit of the function does not exists.
Step-by-step explanation:
From the graph it is noticed that the value of the function is 6 from all values of x which are less than 2. At x=2, the line y=6 has open circle. It means x=2 is not included.
For x<2
The value of the function is -3 from all values of x which are greater than 2. At x=2, the line y=-3 has open circle. It means x=2 is not included.
For x>2
The value of y is 1 at x=2, because of he close circles on (2,1).
For x=2
Therefore the graph represents a piecewise function, which is defined as
The limit of a function exist at a point a if the left hand limit and right hand limit are equal.
The function is broken at x=2, therefore we have to find the left and right hand limit at x=2.
Since the left hand limit and right hand limit are not equal therefore the limit of the function does not exists.