Step by step
The question
Question: which starts higher: function A, x: 0, 1, 2; y: 4, 5, 6, or function B, line through (0, 2) and (1, 5)?
A: x: 0, 1, 2; y: 4, 5, 6
= B: line through (0, 2) and (1, 5)
The start value is y when x is 0.
The bigger one starts higher.
starts higher = bigger start value
1 Start value of A
In the table, at x = 0, y is 4.
= x = 0: y = 4
2 Start value of B
The point (0, 2) is on the y-axis: the start value is 2.
= b = 2
3 Compare
4 is bigger.
So function A starts higher.
= 4 > 2 → A starts higher
Careful!
Function B grows faster.
But it starts lower.
Careful: the faster one is not the higher start
4 Check
Let's check: both lines on one grid.
Line A crosses the y-axis higher.
So the answer is right!
Let's look back.
First: start value of A.
Then: start value of B.
Then: compare.
Last: check.
Answer
Careful: the faster one is not the higher start