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

Question

Mathematics

Vava

3 November, 20:20

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

+3

Answers (2)

Know the Answer?

Mcdaniel · Answer 1

it is

Step-by-step 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.

Jimmy Le · Answer 2

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

Step-by-step 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.