Question

Is the function shown in the graph one-to-one?

Answer 1

C) Yes, there exists one output for every input.

Explanation:

We are given a graph.

When we draw vertical line test, the line passes through the one only point of the graph.

Similarly, when we draw horizontal line test, the line passes through the one only point of the graph.

The graph hold true for both vertical line test and horizontal line test.

Therefore, it is an one-one function.

For every input, there exists an output.

Therefore, the answer is C) Yes, there exists one output for every input.

Answer 2

yes

Explanation:

The graph is of a function (one output for every input) that also passes the horizontal line test (one input for every output). Hence it is one-to-one.

For a function, the key for it being one-to-one is that it pass the horizontal line test.