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Table x 1, 2, 3, 4, 5; f(x) 6, 2, 5, 9, 4; find the largest value of f

Step by step, with the reason for every step · Read a function from its graph or table · Algebra 2

Step by step

The question

Question: what is the largest value of f in this table of f?

largest value of f = ?

1 Look at the table

The table shows f.

Each x on top has its f(x) right under it.

For example, f of 1 is 6.

x: top row
f(x): right under its x

2 Find the biggest value

The values of f are the numbers in the f(x) row.

We look for the biggest one.

largest value of f → the top of the f(x) row

Careful!

The value of f is a number in the f(x) row.

We answer with it, not with the x.

Careful: the value is f(x), not the x

The f(x) row is 6, 2, 5, 9 and 4.

The biggest is 9.

So the largest value of f is 9.

It is at x = 4.

largest value = 9

3 Check

Let's check: in the f(x) row, no number is bigger than 9.

So the answer is right!

f(x) row: 6, 2, 5, 9, 4 biggest: 9

Let's look back.

First: look at the table.

Then: find the biggest value.

Last: check.

Answer
largest value = 9

Your turn

Try this one yourself, then check:

largest value of f = ?
Show the answer
largest value = 9

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