heuger68
Answered

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What would be the equation to represent this function?

What Would Be The Equation To Represent This Function class=

Sagot :

sqdancefan

9514 1404 393

Answer:

  y = 28(x +5)(x -2)/((x +5)(x +7)(x -8))

Step-by-step explanation:

The vertical asymptotes at x=-7 and x=8 and the hole at x=-5 tell you that the denominator has factors of (x +7)(x +5)(x -8) and the numerator has a factor of (x +5). The zero-crossing at x=2 tells you there is another numerator factor of (x -2). So, for some vertical scale factor 'a', the function so far must be ...

  f(x) = a(x +5)(x -2)/((x +7)(x +5)(x -8))

For this, we have ...

  f(0) = 10a/280 = a/28

We want f(0) = 1, so the value of 'a' must be 28.

The equation that produces the graph is ...

  y = 28(x +5)(x -2)/((x +5)(x +7)(x -8))

View image sqdancefan
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