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What is the range of A piecewise function g of x, where part 1 is x squared plus 5 for x greater than 2 and part 2 is 2 times x for x greater than or equal to 2.?

[4, ∞)
[5, ∞)
[9, ∞)
(–∞, ∞)

Answer :

Using it's concept, it is found that the range of the piece-wise function is given by:

[4, ∞)

What is the range of a function?

It is the set that contains all possible output values for the function.

A piece-wise function has multiple definitions.

  • For x < 2, we have that f(x) = x² + 5, hence the range is from 5(smallest value, when x = 0) to infinity.
  • For x >= 2, we have that f(x) = 2x, and the range is from 4(smallest value, when x = 2) to infinity.

Combining them, the range of the entire function is given by:

[4, ∞)

More can be learned about the range of a function at https://brainly.com/question/10891721

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