Explanation:
Part (e)
f is increasing when from left to right, the function goes up. Then, the interval on which f is increasing is (5, ∞)
Part (f)
f is decreasing when from left to right the graph goes down. Then, the interval is (0, 5)
Part (g)
f is constant when the graph is a horizontal line, so the interval is (-∞, 0).
Part (h)
f has a relative minimum at point (5, -1) because it is the lowest point of the curve. So, the number at which f has a relative minimum is 5.
part (i)
Since the relative minimum is at point (5, -1), the relative minimum is -1.
Part (j)
f(-2) is the y-coordinate of the graph when x = -2. Then f(-2) = 24
Part (k)
When the y-coordinate is 3, the x-coordinate is 3 and 7, so the values of x for which f(x) = 3 are 3 and 7.
Part (l)
A graph is even if it is symmetric across the y-axis and it is odd if it is symmetric across the origin. In this case, there is no symmetry, so f is neither even nor odd
Therefore, the answers are:
e) (5, ∞)
f) (0, 5)
g) (-∞, 0)
h) 5
i) -1
j) 24
k) 3 and 7
l) neither
