Given the following table with selected values of $f(x)$ and $g(x)$, evaluate $f(8)$.
| x | -4 | -3 | 0 | 3 | 5 | 8 |
| --- | -- | -- | - | - | -- | -- |
| f(x) | 1 | 3 | 8 | 0 | -5 | -3 |
| g(x) | -7 | 0 | 3 | 5 | 8 | 2 |
Answer (2)
Read the table to find the value of f ( x ) when x = 8 .
Identify the corresponding value of f ( 8 ) from the table.
Conclude that f ( 8 ) = − 3 .
The final answer is − 3 .
Explanation
Understanding the Problem We are given a table that shows the values of two functions, f ( x ) and g ( x ) , for certain values of x . Our task is to find the value of f ( 8 ) .
Locating the Value in the Table To find f ( 8 ) , we need to look at the table and find the column where x = 8 . Then, we read the value of f ( x ) in that column.
Determining the Value of f(8) Looking at the table, when x = 8 , the value of f ( x ) is − 3 . Therefore, f ( 8 ) = − 3 .
Examples
Imagine you are tracking the temperature at different times of the day. The function f ( x ) represents the temperature at time x . If you want to know the temperature at 8 AM, you would look up f ( 8 ) in your records. Similarly, the problem we solved involves reading a value from a table, which is a common task in data analysis and interpretation. This skill is useful in many real-life situations, such as reading stock prices, weather forecasts, or sports statistics.
The value of f ( 8 ) is obtained from the table, which shows that f ( 8 ) = − 3 . Thus, the answer is − 3 .
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