Step by step
The question
Question: find g(1) on this graph of g.
g(1) = ?
1 Look at the graph
The graph shows g.
x goes across.
The height of the graph is g(x): we read it on the y axis.
x: across
g(x): the height, up
2 Read g(1)
The number in the brackets is the x.
Here x is 1.
g(1): x = 1 → g(x) = ?
Careful!
g of 1 does not mean a height of 1.
The 1 in the brackets is an x.
So we start at 1 on the x axis.
Careful: g(1): start at x = 1, not at a height of 1
So g(1) = −1.
g(1) = −1
3 Check
Let's check.
The answer gives a point.
(1, −1) means right 1, then down 1.
It lands on the graph.
So the answer is right!
(1, −1): right 1, down 1 → on the graph
Let's look back.
First: look at the graph.
Then: read g(1).
Last: check.
Answer
g(1) = −1