Question

10/22
x f(x)
1 11
2 22
3 33
4 44
is this function linear or nonlinear?
linear
nonlinear

Explanation:

Step1: Check x-value increments

Each x increases by 1: $1\to2\to3\to4$

Step2: Check f(x) value increments

Each f(x) increases by 11: $11\to22\to33\to44$

Step3: Verify constant rate of change

Rate of change = $\frac{\Delta f(x)}{\Delta x} = \frac{11}{1}=11$, which is constant. Linear functions have a constant rate of change.

Answer:

Linear