ANSWER:
The answer is given in the step by step question
Explanation:
For functions to be one-to-one functions, each x coordinate must have a unique y coordinate.
We can verify this in one-to-one functions using the horizontal line test.
We must take into account the following:
0. Check if horizontal lines can go through two points.
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1. When given a function, draw horizontal lines along with the coordinate system.
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2. If the horizontal lines pass through a single point along the graph, the function is a one-to-one function.
In that case, if it passes through two or more points of a function, then it is not a one-to-one function.
For example:
We observe that each horizontal line drawn through the graph of f (x) = x^2 passes through two ordered pairs. Therefore we can say that the quadratic function is not a one-to-one function.