Answer:
The graph of f(x) is discontinuous at x= -3. The x and y-intercepts or he function f(x) are (4,0) and (0,-4) respectively. The graph of the function is a straight line.
Step-by-step explanation:
The given function is
Cancel out the common factor (x+3).
It is a linear equation and it will give a straight line.
Put x=0, to find the y-intercept.
Therefore the y-intercept is (0,-4).
Put x=0, to find the x-intercept.
Therefore the x-intercept is (4,0).
At x= -3 the value of denominator is 0, therefore the function is undefined for x= -3.
As x approaches toward x=-3 from left and right, the value of function approaches towards y=-7.
The function is discontinuous at x= -3.
