a) The range is the set of all values of y that satisfies the function. On the graph, it is between the highest value of y on the graph and the lowest value of y on the graph. Looking at the graph,
minimum point = - ∞
maximum point = 4
Range = (- ∞, 4]
b) The domain is the set of all values of x that satisfies the function. On the graph, it is between the highest value of x on the lft graph and the lowest value of x on the graph. Looking at the graph,
minimum point = - ∞
maximum point = 6
Domain = (- ∞, 6]
c) f(- 2) = 4
d) f(x) = 0 at x = - 4 and x = 0
e) The intervals on which f(x) is decreasing is
From x = - 2 to x = 0
f) The minimum is the lowest point on the graph. Thus, there is a relative minimum at
x = 0