Long description: block3fig2

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The graph shows a polynomial function with a 'W' shape, crossing the horizontal x-axis at multiple points.

Alt text: The graph shows a polynomial function with a 'W' shape, crossing the horizontal x-axis at multiple points.

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  • The image displays a Cartesian coordinate system with the horizontal axis labeled as "x" and the vertical axis labeled as "y".
  • The graph represents a polynomial function, \(y = 4x^4 - 15x^2 + 5x + 6\), which has the general shape of a "W".
  • The curve starts in the upper left quadrant, decreases, and then increases, showing several local minima and maxima.
  • The function intersects the horizontal x-axis at four distinct points, indicating four real roots for the equation \(y=0\).
  • The graph passes through visible points, demonstrating the characteristic curvature of a fourth-degree polynomial.

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