Question

Determine if the function is one-to-one. A decreasing line intercepting the y axis at 0,4

Answer 1

Yes, it is a one-to-one function.

Explanation:

If every element of the range of the function corresponds to exactly one element of the domain, then the function is called one-to-one.

A linear function is always a one-to-one function. It means all straight lines represent one-to-one function, except the vertical or horizontal lines.

It is given that a decreasing line intercepting the y axis at (0,4). We need to check whether it is a one-to-one function or not.

Since, all increasing or decreasing lines represent the one-to-one function, therefore the given function is also a one-to-one.

Answer 2

it is

Explanation:

Any linear function is one-to-one. It passes both the horizontal and vertical line test. Every element of the range maps to exactly one element of the domain and vice versa.