The table represents a function. What is the value of [tex]f(-1)[/tex]? [tex]f(-1)=-3[/tex] [tex]f(-1)=-1[/tex] [tex]f(-1)=0[/tex] [tex]f(-1)=6[/tex]
Answer (2)
The problem provides a table representing a function f ( x ) .
We need to find the value of f ( − 1 ) .
By looking at the table, we find that when x = − 1 , f ( − 1 ) = 0 .
Therefore, the answer is 0 .
Explanation
Understanding the Problem We are given a table that represents a function f ( x ) . Our goal is to find the value of the function when x = − 1 .
Finding the Value in the Table We look for the value x = − 1 in the table. We find that when x = − 1 , the corresponding value of f ( x ) is 0 .
Stating the Answer Therefore, f ( − 1 ) = 0 .
Examples
Imagine you are tracking the temperature at different times of the day. The function f ( x ) could represent the temperature at time x . If you want to know the temperature at a specific time, say x = − 1 (perhaps representing 1 hour before noon), you would look up the corresponding value in your table, just like we did to find f ( − 1 ) = 0 . This kind of function lookup is useful in many real-world scenarios where data is organized in tables or databases. For example, looking up the price of an item in a store's database or finding the population of a city in a census table.
To find f ( − 1 ) , look up the entry for x = − 1 in the table. The corresponding output is 0 . Therefore, f ( − 1 ) = 0 .
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