Graph the function y = 4x4 – 8x2 + 4. Which lists all of the turning points of the graph?

Turning points can occur where the derivative is zero. For y = 4x⁴ − 8x² + 4, the derivative is 16x(x² − 1), which is zero at x = −1, 0, and 1. Substituting these values into the function gives y = 0, 4, and 0, respectively, so the turning points are (−1, 0), (0, 4), and (1, 0).

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