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What are the domain and the range of the function f(x)=-3(x-5)^2+4?

What are the domain and the range of the function f(x)=-3(x-5)^2+4?-example-1

2 Answers

1 vote

Answer:

domain: (-∞, ∞)

Range: [4, ∞)

Explanation:

Domain is all of the values of x that satisfy the equation. You can find this by looking for any asymptotes, or just any value that f(x) does not exist. If you simply think if this as a graph, the function continues for all real numbers. Therefore, domain: (-inf, inf)

As for range (the y values of the function), we need to know if there are any horizontal asymptotes, or y-values that y does not exist. We can tell that the function starts at 4. There is no value >4 that does not satisfy the equation, so range: [4, inf)

Please let me know if you need any more help!

User VBNight
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4 votes

Answer:

D.) Domain: ( -infinite, infinite )

Range: ( -infinite, 4 ]

What are the domain and the range of the function f(x)=-3(x-5)^2+4?-example-1
User Omortis
by
5.0k points
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