Question

The graph of a function must be linear if it has what characteristic?

Answer 1

The graph of a function must be linear if x is not squared in the function

Answer 2

Slope of linear graph function will be constant.

Explanation:

Linear function graph:The equation of linear graph function is given by

`f(x)=mx+b`

The degree of linear graph function is one.

Differentiate w.r.t x

Then, we get

`y'=m`

Slope of linear function is m.m is constant.

Therefore, if a graph is graph of linear function then it will have constant slope m.