If a horizontal line can intersect the curve at more than one point, then the inverse is not a function.
No.
Practice makes perfect
We are given the following function and its graph. We want to determine whether the inverse of the function is also a function.
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We will use the Horizontal Line Test. If the horizontal lines intersect the graph once, then the inverse is also a function. Conversely, if there is even one horizontal line that intersects the graph more than once, then the inverse is not a function.
We can see above that there are horizontal lines that intersect the curve at more than one point. Therefore, the inverse of the given function is not a function.</premium>
