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On a coordinate plane, two cube root functions are shown. The first cube root function is a solid line and goes through \((-8, 2)\), has an inflection point at \((3.5, 4)\), and goes through \((4, 5)\). The second cube root function is a dashed line and is represented by the equation \(f(x) = \sqrt[3]{x}\). The function goes through \((-8, -2)\), has an inflection point at \((0, 0)\), and goes through \((8, 2)\).

Which equation is graphed along with the parent function?

Answer :

The second cube root function represented by the equation f(x) = ∛x is graphed along with the parent function.

The first cube root function represents the graph that goes through (-8, 2), has an inflection point at (3.5, 4), and passes through (4, 5). The second cube root function is represented by the equation f(x) = ∛x and it goes through (-8, -2), has an inflection point at (0, 0), and passes through (8, 2).

Comparing the given points and properties of the functions to the equation f(x) = ∛x, we can see that the second function is the one graphed alongside the parent function.

Therefore, the equation that is graphed along with the parent function is f(x) = ∛x.

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