The domain of the function
The domain is all the values of the x-intercept for which the function is defined
Hence, the domain is -1 ≤ x < 4
We can represent the above in interval notation as [ -1, 4)
Value of f(2)
This simply means the value of y when x = 2. To find this, locate the vlue of y at x=2 on the graph.
At x=2, we need to move downward to get the value of y
Hence f(2) = - 3
The values of x for which f(x) = - 2
It is simply asking us to find the values of x at a point when y=-2
At y=-2, we have two values of x, they are:
x= 1 and x= 3
Y-intercept
The y -intercept is the point at which the function cut the across the y-axis and for that to occur, x must be equal to zero at that point.
Hence, the y -intercept is (0, 1)
x - intercepts
The x intercept is the point at which the function cut across the x-axis and the value of y at that point must equal zero for that to occur.
We have two x - intercepts
(0.2 , 0) and ( 3.8, 0)