Question

A straight line on a coordinate plane always represents a function. true or false

Answer 1

A straight line on a coordinate plane always represents a function would be true.

Answer 2

Answer:

False.

Step-by-step explanation:

We have been given a statement. We are asked to determine whether our given statement is true or false.

We know that a line is function, when each value of x corresponds to exactly one y-value.

We can also test whether a line using vertical line test. If a vertical line intersects a line exactly at one place, then line represents a function. If a vertical line intersects a line more than once, then line is not a function.

A straight line on a coordinate plane does not always represent a function because vertical lines in form $x=a$, where a is any real number, will fail vertical line test.

Therefore, our given statement is false.