Question

Which of the following describes the graph of a linear function?

• A. It is a curve that lies in only two quadrants.
• B. Its $y-$values decrease at a constant rate as its $x-$value increases.
• C. It is a straight line in one portion and a curve in another portion.
• D. Its $y-$values increase at a non-constant rate as its $x-$value increases.

Answer 1

The correct option is D

Its $y-$values increase at a non-constant rate as its $x-$value increases.

Explanation for the correct option:

We know that the graph of a linear function $y=f\left(x\right)$ is a straight line throughout the graph and also $y\propto x$.

i.e. $y$ is directly proportional to $x$.

i.e. if the $y-$value increases at a non-constant rate as its $x-$value increases and if the $y-$value decreases at a non-constant rate as its $x-$value decreases.

Hence, option (D) is the correct answer.