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Parabola with vertex at (0,1) and x-intercepts at -1 and 1.

Graph of a quadratic function with vertex at (0,1) and x-intercepts at (-1,0) and (1,0), opening downward.

Graph of a quadratic function with vertex at (0,1) and x-intercepts at (-1,0) and (1,0), opening downward.

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Show Answer Key & Explanations Step-by-step solution for: Odd & Even Functions - Advanced Higher Maths
- The graph shows a function with two local maxima at approximately x = -1 and x = 1, both reaching y = 3.
- There is a local minimum at x = 0, where y = 0.
- The function appears to be symmetric about the y-axis, suggesting it is an even function.
- As x approaches ±∞, the function values decrease without bound, indicating vertical asymptotes or unbounded behavior at the edges of the displayed domain.
- The function crosses the x-axis at x = 0 and possibly at other points outside the visible range.
- The shape resembles a quartic polynomial with a positive leading coefficient, but with possible discontinuities or asymptotic behavior beyond the plotted region.
Parent Tip: Review the logic above to help your child master the concept of even and odd function worksheets.
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