a) The domain of a function refers to the set of values of x that satisfy the function. On the graph, it is between the minimum value of x on the left and the maximum value of x on the right. Since the line continues to the left and right, it tends towards infinity on both sides. Hence,
Domain = (- infinity, infinity)
b) The range of a function refers to the set of values of y that satisfy the function. On the graph, it is between the minimum value of at the bottom and the maximum value of y at the top. The maximimum value of y is - 1 and the minimum is negative infinity. Hence,
Range = (- infinity, - 1}
c) The x intercept is the value of x when y is zero. It occurs at the point where the line cuts the x axis. Since the line doesn't cut the x axis, there is no x intercept.
d) The y intercept is the value of y when x is zero. It occurs at the point where the line cuts the y axis. It cuts the y axis at x = - 4
Thus, y intercept = - 4
e) the function value, f(- 4) is the value of y at x = - 4. From the graph,
f(- 4) = - 2
the function value, f(0) is the value of y at x = 0. From the graph,
f(0) = - 4