Consider the function represented by the table.
| x | f(x) |
|---|---|
| 0 | 6 |
| 2 | 7 |
| 4 | 0 |
| 7 | 5 |
What is [tex]f(0)[/tex]?
A. 4
B. 5
C. 6
D. 7
Answer (2)
The problem provides a table representing a function f ( x ) .
We identify the row where x = 0 .
We read the corresponding value of f ( x ) from the table.
The value of f ( 0 ) is 6 .
Explanation
Understanding the Problem We are given a table that represents a function f ( x ) . The table shows the values of the function for specific values of x . We need to find the value of f ( 0 ) .
Locating x=0 We look for the row in the table where x = 0 .
Finding f(0) In the table, when x = 0 , the corresponding value of f ( x ) is 6. Therefore, f ( 0 ) = 6 .
Examples
In real life, functions represented by tables are often used to describe relationships between two variables. For example, the table could represent the relationship between the number of hours worked and the amount of money earned. If you worked 0 hours, you would earn $6 (perhaps a signing bonus). If you worked 2 hours, you would earn $7, and so on. Understanding how to read and interpret these tables is essential for making informed decisions in various situations.
The value of f ( 0 ) is found by locating the corresponding entry in the provided table, which shows that f ( 0 ) = 6 . Hence, the correct option is C. 6.
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