Question Video: Evaluating the Output of a Function given Its Input | Nagwa Question Video: Evaluating the Output of a Function given Its Input | Nagwa

Question Video: Evaluating the Output of a Function given Its Input Mathematics • Third Year of Preparatory School

Fill in the input–output table for the function 𝑓(𝑥) = 5𝑥 + 3.

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Video Transcript

Fill in the input–output table for the function 𝑓 of 𝑥 equals five 𝑥 plus three.

We have the function 𝑓 of 𝑥 equals five 𝑥 plus three. And we have a table with input values zero, two, four, and five. When working with functions, the input value is the 𝑥-value. This makes the output the 𝑓 of 𝑥 value. It’s the value of the function for any given input.

First, we’ll start with zero. 𝑓 of zero is equal to five times zero plus three. Therefore, 𝑓 of zero equals three, and we can fill that value into the table. 𝑓 of two is equal to five times two plus three, which is 13. 𝑓 of four equals five times four plus three, 23. And finally, 𝑓 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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