i have my input output table but i don't know how to complete the sentence
inputx / 0/ 1/ 2/ 3/
outputy/ 0/ 1/ 4/ 9/
the question is: does the table represent a function?juatify your answer.
___,because for each____there__ exactly one____.
It will be a function if for each input there is only one output, is that the case here?
yes
i don't get input and output tables!
I know you asked this 6 years ago, but someone may learn something from this answer:
You have a peculiar set of inputs and outputs. The first two especially should give you a hint: they're the same! 0 squared is 0; similarly, 1 squared is 1. If you square your other inputs, you'll see they're the same way.
Your fill-in-the-blank sentence is given a hint in the next sentence: a function has only one output for each input, that is, you won't input 3 and get both 6 and 10. So your sentence is "yes, because for each input there is exactly one output."
Input and output tables, also known as input-output tables or function tables, are used to represent the relationship between inputs and outputs in a function. They provide a systematic way to organize and analyze data.
In the table you provided, the input values (x) are listed in the left column, and the corresponding output values (y) are listed in the right column. Each input value is associated with one and only one output value.
To determine if the table represents a function, we need to check if there is a unique output value for each input value. In other words, we need to make sure that no two different input values have the same output value.
In this case, for each input value (0, 1, 2, 3), there is exactly one output value (0, 1, 4, 9) respectively. Since there is no repetition of output values for different input values, we can conclude that the table does represent a function.
To complete the sentence, you can write:
"The table represents a function because for each input (x), there is exactly one output (y)."