Chapter 8, Problem 2CST

To determine

Which equation is not a function?

Answer to Problem 2CST

The equation $x=4$ is not a function and option H is the correct choice.

Explanation of Solution

Given:

Four choices:

  $\text{F}\text{. }x+y=5\text{ G}\text{. }2x-y=3\text{ H}\text{. }x=4\text{ I}\text{. }y=-1$

Calculation:

We know that anequationwill be also a function, when each input in the domain has exactly one specific corresponding output.

Upon looking at our given choices, we can see that equation $x=4$ represents a vertical line. There are many y-values corresponding to $x=4$ .

Therefore, the equation $x=4$ is not a function and option H is the correct choice.