The complete graph of the function f is shown in the xy plane above. Which of the following is/are equal to -2?
I.f(-1)
II.f(0)
III.`f((7)/(2))`

Options

A. I only
B. II only
C. II and III only
D. I, II and III

Answer

C

Explanation

Difficult:Medium
Category: Passport to Advanced Math/ Functions
Strategic Advice: When a function is graphed on a coorinate plane, the points take on the form `(x, f(x)),` so f(x) is just another way of saying y.
Getting to the Answer: Read the graph to find the y-coordinates that correspond to the given x-coordinates (the numbers inside the parentheses) in I, II, and III. The points on the graph of f with x-coordinates `-1, 0, and (7)/(2)(or3.5)` are `(-1, -1, 5), (0, -2), and 3.5, -2)`. Therefore, of the values given, only 0 (II) and `(7)/(2)` (III) are equal to -2, making (C) correct.