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Question Video: Evaluating the Output of a Function given Its Input Mathematics • 8th Grade

Fill in the inputโ€“output table for the function ๐‘“(๐‘ฅ) = 5๐‘ฅ + 3.

01:22

Video Transcript

Fill in the inputโ€“output table for the function ๐‘“ of ๐‘ฅ equals five ๐‘ฅ plus three.

We have the function ๐‘“ of ๐‘ฅ equals five ๐‘ฅ plus three. And we have a table with input values zero, two, four, and five. When working with functions, the input value is the ๐‘ฅ-value. This makes the output the ๐‘“ of ๐‘ฅ value. Itโ€™s the value of the function for any given input.

First, weโ€™ll start with zero. ๐‘“ of zero is equal to five times zero plus three. Therefore, ๐‘“ of zero equals three, and we can fill that value into the table. ๐‘“ of two is equal to five times two plus three, which is 13. ๐‘“ of four equals five times four plus three, 23. And finally, ๐‘“ of five equals five times five plus three, 28.

To fill in the table, we use the output values three, 13, 23, and 28, respectively.

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