# Is the following a linear function? h(x)= 1/2x^2 - 8xIf it is a linear function, please explain 'Why".

### 2 Answers | Add Yours

h(x) = (1/2)x^2 - 8x

The function h(x) is NOT a linear function.

h(x) is a function of the second degree because x has the power (2).

The linear function should be a function of the first degree such that the highest power of x is 1.

For example:

f(x) = 2x-3

g(x)= 5-5x

The standard form for the linear function is f(x)= ax+b.

**Therefore, h(x) is NOT a linear function.**

for a linear function the power of x is only 1. if it is more than 1, it is a nonlinear function