Q&A for How to Find the Domain and Range of a Function

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What is the domain and range of the function: f(x)=3x-12x+5?

Pimemorized

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If you simplify the function, you can see that it's f(x) = -9x + 5, which is a linear function. Linear functions go infinitely in every direction, and therefore both the domain and the range of the function are negative to positive infinity.

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Question

How do I find the range of a function without graphing?

Llp33

Community Answer

Looking at a list of ordered pairs (a relation and possibly a function), the y-values (second values) in each ordered pair make up the range. You should list them in order from least to greatest. No graphing is required.

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How to find the domain of 1/√x+|x|?

Community Answer

You need x to be non-negative in order to be able to compute its square root. X also cannot be zero, or else you will be dividing by zero. Any strictly positive value of x is fine to be in the domain, because both the square root and the division steps are allowed. In interval notation, say the domain of x is (0, infinity).

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What is the domain and range of the function f(x) = x+3/x-2?

BTSARMY 1

Community Answer

The domain will be any real number except for 2 and the range will be any real number except for 1.

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How do I determine the domain and range of f(x) = -2x + 3?

Community Answer

The domain and range would both be all real numbers because it's a linear function, which means that you can plug in any real number and it would still work.

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What is the domain of h(t) = √(t²+1)?

I_l1ke_gam3s

Community Answer

What's inside the parentheses has to be greater than or equal to zero. Since (t^2 + 1) is always positive, the domain is all real numbers.

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