Question

9/22
x | y
1 | 1
2 | 4
3 | 9
is this function linear or non linear?
linear
non linear

Explanation:

Step1: Check x-value increments

The x-values increase by 1 each time: $1 \to 2 \to 3$ (difference $\Delta x = 1$ for each step).

Step2: Check y-value differences

Calculate the change in y-values:
From $x=1$ to $x=2$: $\Delta y_1 = 4 - 1 = 3$
From $x=2$ to $x=3$: $\Delta y_2 = 9 - 4 = 5$

Step3: Verify linearity condition

A linear function requires a constant rate of change (equal $\Delta y$ for equal $\Delta x$). Here, $\Delta y_1
eq \Delta y_2$, so the rate of change is not constant.

Answer:

Non Linear