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What is the range of the function f(x) = 2x + 4 when the domain is -2,0,3​

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User ACoolie
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1 Answer

2 votes

Answer:

{0, 4, 10}

Explanation:

Sometimes, I like to work questions like this by doing all of the values at once:

f([-2, 0, 3]) = 2[-2, 0, 3] +4 = [-4, 0, 6] +4 = [0, 4, 10]

For the given domain, the range is {0, 4, 10}.

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The basic idea is that you evaluate the function for each value of the domain to see what the corresponding value is in the range. Repeats of range values are left out of the final list, which is often sorted into order, least to greatest.

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