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Table x 1, 2, 3, 4; f(x) 4, 7, 10, 13; for which x is f(x) = 10

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: for which x is f(x) = 10 in this table of f?

f(x) = 10 x = ?

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 Find where f(x) = 10

This time we know f(x): it is 10.

We look for the x.

f(x) = 10 → 10 in the f(x) row → x = ?

Careful!

Here 10 is f of x.

So we start at 10 on the f(x) row, not on the x row.

Careful: f(x) = 10: find 10 in the f(x) row, not as an x

Find 10 in the f(x) row.

Right above it: x = 3.

So x = 3.

x = 3

3 Check

Let's check: put the x back.

Under x = 3 the table has 10.

So the answer is right!

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

Let's look back.

First: look at the table.

Then: find where f(x) = 10.

Last: check.

Answer
x = 3

Your turn

Try this one yourself, then check:

For which x is f(x) = 7 x = ?
Show the answer
x = 2

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