The table represents the function [tex]f(x)[/tex].
| x | f(x) |
|---|---|
| 4 | -66 |
| -3 | -29 |
| -2 | -10 |
| -1 | -3 |
| 0 | -2 |
| 1 | -1 |
| 2 | 6 |
When [tex]f(x)=-3[/tex], what is [tex]x[/tex] ?
A. -29
B. -10
C. -3
D. -1
Answer (2)
We are given a table of values for f ( x ) .
We want to find the value of x when f ( x ) = − 3 .
By looking at the table, we find that when x = − 1 , f ( x ) = − 3 .
Therefore, the answer is − 1 .
Explanation
Understanding the Problem We are given a table that shows the values of a function f ( x ) for different values of x . Our goal is to find the value of x for which f ( x ) = − 3 .
Locating the Value We need to examine the table and locate the row where the value of f ( x ) is equal to − 3 .
Finding the Corresponding x Value Looking at the table, we find that when x = − 1 , f ( x ) = − 3 .
Final Answer Therefore, when f ( x ) = − 3 , the value of x is − 1 .
Examples
Imagine you are tracking the temperature of a chemical reaction over time. The function f ( x ) represents the temperature at time x . If you want to know at what time the temperature was -3 degrees, you would look for the value of x when f ( x ) = − 3 . This problem demonstrates how to read and interpret data from a table, which is a common task in science and engineering.
When f ( x ) = − 3 , the value of x is − 1 . Thus, the correct answer is D. -1.
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