sammysaurus
sammysaurus sammysaurus
  • 20-12-2018
  • Mathematics
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if the domain of f(x) = x^2 + 1 is limuted to {0,1,2,3} what is the maximum value of the range?

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jimthompson5910 jimthompson5910
  • 20-12-2018

Answer: 10

Plug in the given x values and see which result is the largest

Plug in x = 0 ---> x^2+1 = 0^2 + 1 = 1

Plug in x = 1 ----> x^2 + 1 = 1^2 + 1 = 2

Plug in x = 2 ----> x^2 + 1 = 2^2 + 1 = 5

Plug in x = 3 ---> x^2 + 1 = 3^2 + 1 = 10

The range is therefore {1, 2, 5, 10} which is just the set of possible outputs.

We see that y = f(x) = 10 is the largest output of the range if the domain is restricted to the set {0, 1, 2, 3}

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