Answer:
a. -3 < x ≤ 5
b. -3 ≤ y < 3
c. (0, 0)
d. x = -3, x = 1, x = 5
e. -3 < x ≤ - 1, and 1 ≤ x ≤ 3,
f. (-1, -1), and (3, -3)
Step-by-step explanation:
a. The domain of a function is the set of the possible independent variable values which is -3 < x ≤ 5
b. The range of a function is the set of the possible values of the dependent variable which is -3 ≤ y < 3
c. The y-intercept is the point the graph crosses the y-axis
The y-intercept in the graph is the point (0, 0)
d. f(x) ≥ 0 when x = -3, x = 1, x = 5
f(x) ≥ 0 over the following range; -3 < x ≤ - 1.5, 0 ≤ x ≤ 1.5, 4.5 ≤ x ≤ 5
e. The intervals over which f(x) is decreasing are;
-3 < x ≤ - 1, and 1 ≤ x ≤ 3,
f. The local minimums where f(x) has the minimum values are;
(-1, -1), and (3, -3)
= 8