Answer:
Sure, I can help you understand how to graph this.
From the image description, it seems like you have a scatter plot with time in seconds on the y-axis and height in feet on the x-axis. The graph is titled "time when the ball is at the given heights".
The question asks about the inverse of the function represented by this graph. An inverse function is a function that "reverses" the input-output pairs of the original function. In other words, if you have a function that gives you the output `y` for an input `x`, its inverse function would give you `x` when you input `y`.
However, not all functions have an inverse. For a function to have an inverse, it must be bijective, which means it's both injective (or one-to-one) and surjective (or onto). In simpler terms, each input has exactly one output and each output has exactly one input.
Looking at your graph, it seems like it might not be one-to-one, which means it doesn't have an inverse function. To make it invertible, you would need to restrict the domain or range so that each input corresponds to exactly one output.
For example, if your graph represents a parabola (which is not one-to-one), you could restrict the domain to be only the values greater than or equal to the vertex of the parabola. This would make the function one-to-one and therefore invertible.
I hope this helps! If you have any more questions or need further clarification, feel free to ask.
Explanation: