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BARSIC [14]
2 years ago
15

Why do numbers raised to an exponent get greater but fractions raised to an exponent get smaller

Mathematics
1 answer:
Svetllana [295]2 years ago
8 0
Because fractions are part of a number
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The graph represents the function (check picture)
Taya2010 [7]

Answer:

a = 1 and b = -12

Step-by-step explanation:

* Lets look to the graph to solve the problem

- f(x) is a rational function with:

# numerator ⇒ x² - 4x + 3

# denominator ⇒ x² + ax + b

- To find the values of a and b lets use the hole and the vertical

  asymptote in the graph of the function

∵ There is a hole at x = 3

- The hole appears when the numerator and the denominator have

 a common factor

∵ x = 3 ⇒ subtract 3 from both sides

∴ x - 3 = 0

∴ The numerator and the denominator have a factor (x - 3)

- The vertical asymptotes appear at the zeros of the denominator

  that means the values of x when the denominator = 0

∵ There is a vertical asymptote at x = -4

∵ x = -4 ⇒ add 4 for both sides

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∴ (x - 3)(x + 4) = x² + 4x - 3x - 12 = x² + x - 12

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∴ a = 1 and b = -12

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3 years ago
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