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notsponge [240]
2 years ago
15

NEED HELP DUE TODAY!!!​

Mathematics
1 answer:
Rainbow [258]2 years ago
4 0

Answer:

50 minutes

Step-by-step explanation:

x=9

(5x9+5)+9+13=72

50+9+13=72

59+13=72

5x9=45

45+5=50

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(01.03. 106, 1.08 HC)
zlopas [31]

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Step-by-step explanation:

<h3>Part A</h3>

A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

  \dfrac{-x^2+x+2}{x^2-3x+2}=-\dfrac{(x-2)(x+1)}{(x-2)(x-1)}=-\dfrac{x+1}{x-1}\quad x\ne 2

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The graph is attached.

The range of the function is (-∞, 7].

__

<h3>Part B</h3>

As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.

The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.

__

<h3>Part C</h3>

The end behavior is defined by the horizontal asymptotes:

  for x → -∞, y → -2

  for x → ∞, y → -1

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