Why is the end behavior of a quadratic function different from the end behavior of a linear function?

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1219470

2026-05-08 10:15

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The end behavior of a quadratic function differs from that of a linear function due to their respective degrees and shapes. A quadratic function, which is a polynomial of degree two, has a parabolic graph that opens upwards or downwards, leading to both ends of the graph either rising or falling indefinitely. In contrast, a linear function has a constant slope and produces a straight line, causing its ends to extend infinitely in opposite directions. Thus, while quadratics demonstrate a U-shaped behavior, linear functions maintain a consistent directional trend.

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