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Table x -3, -2, -1, 0; f(x) 9, 4, 1, 0; find the smallest 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 smallest value of f in this table of f?

smallest 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 −3 is 9.

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

2 Find the smallest value

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

We look for the smallest one.

smallest value of f → the bottom 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 9, 4, 1 and 0.

The smallest is 0.

So the smallest value of f is 0.

It is at x = 0.

smallest value = 0

3 Check

Let's check: in the f(x) row, no number is smaller than 0.

So the answer is right!

f(x) row: 9, 4, 1, 0 smallest: 0

Let's look back.

First: look at the table.

Then: find the smallest value.

Last: check.

Answer
smallest value = 0

Your turn

Try this one yourself, then check:

smallest value of f = ?
Show the answer
smallest value = 0

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