Steply

Table x 0, 1, 2, 3, 4; f(x) 5, 3, 1, -1, -3; find f(4)

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(4) in this table of f.

f(4) = ?

1 Look at the table

The table shows f.

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

For example, f of 0 is 5.

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

2 Read f(4)

The number in the brackets is the x.

Here x is 4.

f(4): x = 4 → f(x) = ?

Careful!

f of 4 does not mean f(x) is 4.

The 4 in the brackets is an x.

So we start at 4 on the x row.

Careful: f(4): start at x = 4, not at f(x) = 4

Find 4 in the x row.

Right under it is −3.

So f(4) = −3.

f(4) = −3

3 Check

Let's check the other way.

The −3 in the bottom row sits under x = 4.

So the answer is right!

column: x = 4, f(x) = −3

Let's look back.

First: look at the table.

Then: read f(4).

Last: check.

Answer
f(4) = −3

Your turn

Try this one yourself, then check:

Find f(1) = ?
Show the answer
f(1) = 4

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