Questions: Is the following a one-to-one function?

Solution Steps

A function \( f \) is one-to-one if and only if \( f(a) = f(b) \) implies \( a = b \) for all \( a \) and \( b \) in the domain of \( f \). This means that no two different inputs can map to the same output.

Examine the graph of the function \( y = f(x) \). Check if there are any horizontal lines that intersect the graph at more than one point. If such a horizontal line exists, the function is not one-to-one.

Draw horizontal lines across different values of \( y \) on the graph. Observe if any horizontal line intersects the graph at more than one point.

Final Answer