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Leviafan [203]
4 years ago
13

If the domain of f(x) = x^2 + 1 is limuted to {0,1,2,3} what is the maximum value of the range?

Mathematics
1 answer:
katrin2010 [14]4 years ago
8 0

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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Answer:

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spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

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Not one of the options

choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

13 cards(spades) out of a set of 52 cards

13/52 = 0.25

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