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The function f (x) = -x^2 + 4x - 3 is graphed in the xy-coordinate plane as shown based on the graph of the function which of the following statements are true. Select all that apply

The function f (x) = -x^2 + 4x - 3 is graphed in the xy-coordinate plane as shown-example-1

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Answer:

In the picture attached, the function f(x) = -x² + 4x - 3 is shown.

Based on the graph of the function, the following statements are true:

  • f(x) < 0 on the interval x < 0
  • f(x) < 0 on the interval 0 < x < 1
  • f(x) > 0 on the interval 1 < x < 3
  • f(x) < 0 on the interval x > 3
The function f (x) = -x^2 + 4x - 3 is graphed in the xy-coordinate plane as shown-example-1
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