## The graph below represents the path of a grasshopper as it jumps. Which type of function is modeled by the data on the graph?

Question

The graph below represents the path of a grasshopper as it jumps.

Which type of function is modeled by the data on the graph?

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Step by step explanation:

We have been given a graph and we are asked to find the type of function modeled by the data on graph.

Let us check our given options one by one.

1. Inverse function: An inverse function reverses another function. Since we know that a parabola don’t have an inverse function, therefore, 1st option is not correct.

2. Linear function: Linear function represents graph of a straight line. We can see from our graph that our function is not a line, therefore, 2nd option is incorrect.

3. Square root function: This function is inverse function for the square function. The graph of a square root function meets x axis at-most once. We can see from our graph that our function is touching x-axis at two places, therefore, 3rd option is incorrect too.

4. Quadratic function: The graph of a quadratic function is a curve called parabola. We can see that function shown in our graph is a parabola, which is opening downward.

Therefore, 4th option is the correct choice.