Question

Determine if the function is one-to-one. A decreasing line intercepting the y axis at 0, 5.

Answer 1

Assuming they mean straight line, then this graph is one-to-one. It is impossible to draw a horizontal line that will cross through more than one point on the diagonal line already graphed.

Contrast this with a parabola where it is possible to draw a horizontal line through more than one point on the parabola. So the parabola would not be one-to-one.

Answer 2

It is given that line intersects y axis at (0,5).

If written in the form of function

f(x)=5

Means , every element in preimage has image equal to 5.

A function is said to be one one , if every element in preimage has distinct image.

Here,each and every element in Preimage has image equal to 5.

So,the given function is not one-to-one.