Is #h(x)=2x^3-4x^2+5# a linear function and explain your reasoning?

1 Answer
Sep 3, 2017

Answer:

No

Explanation:

A linear function can always be written of the form #f(x) = mx + b#, where the variable is of power #1#. Here, we have terms of power #3# and power #2#. Hence, this is not linear.

A linear function takes the form of a straight line when graphed, although this polynomial function is obviously not straight as shown in the following graph.

graph{2x^3 + 4x^2 + 5 [-10, 10, -5, 5]}

Hopefully this helps!