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Which equation could represent each grapes polynomial function?

Which Equation Could Represent Each Grapes Polynomial Function class=

Sagot :

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9514 1404 393

Answer:

  • top graph: y = x(x +3)(x -2)
  • bottom graph: y = x⁴ -5x² +4

Step-by-step explanation:

Each x-intercept at x=a corresponds to a polynomial factor of (x -a).

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The top graph has x-intercepts of -3, 0, +2, so the factors of this cubic are ...

  y = (x +3)(x -0)(x -2)

  y = x(x +3)(x -2) . . . . . . . matches upper right tile

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The bottom graph has x-intercepts of -2, -1, 1, 2, so the factors of this quartic are ...

  y = (x +2)(x +1)(x -1)(x -2) = (x² -4)(x² -1)

  y = x⁴ -5x² +4 . . . . . . . matches lower left tile

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