Determine if the function is one-to-one by noting the functions family to which it belongs and mentally picturing the shape of its graph. f(x) = 8x² + 5

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The function belongs to the polynomial family with degree 12. Polynomials of degree greater than or equal to 2 are not one-to-one since they have multiple x values that can produce the same y value. The graph of a polynomial of degree 12 is typically complex and has multiple turning points, so it is not a simple shape like a straight line or a parabola that could be one-to-one. Therefore, the function is not one-to-one.

Determine If the Function Is One-To-One by Noting the Functions