Question

Which graph represents a linear function of $x$?

• A.

  

• B.

  

• C.

  

• D.

  

Answer 1

The correct option is C

Explanation for right option:

Option $C$:

A linear function in $x$ represents a straight line graphically, which is not vertical.

Hence option $C$ is the correct option.

Explanation for incorrect options:

Option $A$:

The given graph is of a parabola and the function representing a parabola is a quadratic function.

Option $C$:

The given graph is a curve and not a straight line, the corresponding function is an exponential function.

Option $D$:

The given graph is a vertical straight line, no function exists corresponding to a vertical line.

Hence option $C$ is the correct option.