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The graph of the function y=f(x) is shown below. What are the values of a,b,c, and d in the definition of f(x) below?

The graph of the function y=f(x) is shown below. What are the values of a,b,c, and-example-1

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Answer:

(a, b, c, d) = (2, -3, -2, 2)

Explanation:

The horizontal segment where y=3 extends from x = -2 to x = 2. These are the values of c and d, respectively.

The slope of the left piece is up 2 for over 1, so is 2/1 = 2, the value of a.

The slope of the right piece is down 3 for over 1, so is -3/1 = -3, the value of b.

So, we have ...

  • a = 2
  • b = -3
  • c = -2
  • d = 2
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