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Table x 1, 2, 3, 4; f(x) 4, 7, 10, 13; find f(3)

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: find f(3) in this table of f.

f(3) = ?

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 4.

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

2 Read f(3)

The number in the brackets is the x.

Here x is 3.

f(3): x = 3 → f(x) = ?

Careful!

f of 3 does not mean f(x) is 3.

The 3 in the brackets is an x.

So we start at 3 on the x row.

Careful: f(3): start at x = 3, not at f(x) = 3

Find 3 in the x row.

Right under it is 10.

So f(3) = 10.

f(3) = 10

3 Check

Let's check the other way.

The 10 in the bottom row sits under x = 3.

So the answer is right!

column: x = 3, f(x) = 10

Let's look back.

First: look at the table.

Then: read f(3).

Last: check.

Answer
f(3) = 10

Your turn

Try this one yourself, then check:

Find f(2) = ?
Show the answer
f(2) = 9

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