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The graph of y = f (x) is shown in the x...


The graph of y = f (x) is shown in the xy -plane. What is the value of f (0) ?

A

0

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Since y = f (x ), the value of f (0) is equal to the value of f (x ), or y, when x = 0. The graph indicates that when x = 0, y = 4. It follows that the value of f (0) = 4.
Choice A is incorrect. If the value of f (0) were 0, then when x = 0, the value of f (x ), or y, would be 0 and the graph would pass through the point (0, 0). Choice B is incorrect. If the value of f (0) were 2, then when x = 0, the value of f (x ), or y, would be 2 and the graph would pass through the point (0, 2). Choice C is incorrect. If the value of f (0) were 3, then when x = 0, the value of f (x ), or y, would be 3 and the graph would pass through the point (0, 3).
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