Steply

The graph of f passes through (0, 1), (1, 3), (2, 5), (3, 7); find…

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(0) on this graph of f.

f(0) = ?

1 Look at the graph

The graph shows f.

x goes across.

The height of the graph is f(x): we read it on the y axis.

x: across
f(x): the height, up

2 Read f(0)

The number in the brackets is the x.

Here x is 0.

f(0): x = 0 → f(x) = ?

Careful!

f of 0 does not mean a height of 0.

The 0 in the brackets is an x.

So we start at 0 on the x axis.

Careful: f(0): start at x = 0, not at a height of 0

So f(0) = 1.

f(0) = 1

3 Check

Let's check.

The answer gives a point.

(0, 1) means stay at 0, then up 1.

It lands on the graph.

So the answer is right!

(0, 1): stay at 0, up 1 → on the graph

Let's look back.

First: look at the graph.

Then: read f(0).

Last: check.

Answer
f(0) = 1

Your turn

Try this one yourself, then check:

Find f(3) = ?
Show the answer
f(3) = 9

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