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.