Given,
The graph of the curve is shown in the question.
The domain of the function are the input value which are x coordinates values.
The range of the function are the output value which are represent by y coordinates of the graph.
So, from the graph its is clearly seen that the curve taking input from -4 to 4,
Hence, the domain of the function is,
[tex]\lbrack-4,4\rbrack[/tex]So, from the graph its is clearly seen that the curve giving output from 3 to -1,
Hence, the range of the function is,
[tex]\lbrack-1,3\rbrack[/tex]c) from the graph it is seen that when the value of x coordinate is 2 then the value of y coordinate is -1.
[tex]\text{Hence, f(2)=-1}[/tex]The value of x when the coordinates of y is 0 at x=3, -1.5.
[tex]\text{Hence, f(3)=0 and f(-1.5)=0}[/tex]The intercept of the y axis is at (0, -1).
The intercept of the x axis is at (-1.5,0) and (3,0).
The values at which y coordinate is zero is called the zeroes of the graph.
The xeroes of the graph is x=-1.5 and x=3.
In interval [-4,-2], the function is decreasing.
In interval [-2,-1] the function is decreasing.
In interval [-1,2] the function is contant.
ininterval [2,4] the function is increasing.
The maximum value of the graph is 3.
The minimum value of the graph is at -1