Step by step
The question
Question: find g(1) in this table of g.
g(1) = ?
There are four choices.
First we solve it, the normal way.
Then we pick.
1 Look at the table
The table shows g.
Each x on top has its g(x) right under it.
For example, g of −2 is 7.
x: top row
g(x): right under its x
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 g(x) is 1.
The 1 in the brackets is an x.
So we start at 1 on the x row.
Careful: g(1): start at x = 1, not at g(x) = 1
Find 1 in the x row.
Right under it is −2.
So g(1) = −2.
g(1) = −2
3 Check
Let's check the other way.
The −2 in the bottom row sits under x = 1.
So the answer is right!
column: x = 1, g(x) = −2
4 Pick the choice
Our answer is g(1) = −2.
That is choice B.
B) −2
5 Why not the others
A is −5.
Wrong: that is g(2).
A) −5 ✗ that is g(2)
C is 1.
Wrong: that is g(0).
C) 1 ✗ that is g(0)
D is 4.
Wrong: that is g(−1): x is 1, not −1.
D) 4 ✗ that is g(−1): x is 1, not −1
Let's look back.
First: look at the table.
Then: read g(1).
Then: check.
Then: pick the choice.
Last: why not the others.
Answer
g(1) = −2