# What is the range of #f(x) = 3x + 4#?

So, in interval notation:

The domain (or possible input(

The range (or possible output(

*Note the round brackets ( ) used.Since infinity isn't a number, the function isn't exactly "defined" there, it just keeps tending to infinity. If the function was defined on a certain interval, we would put [square brackets] around it

When you're trying to figure out a domain, you can think about if the function is continuous. Is there any place where the function is not defined, so you're not allowed to plug into a value (like a 0 in the denominator)? Are there any places where there are asymptotes?

In the case of linear functions like

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The range of the function f(x) = 3x + 4 is all real numbers because the function is linear and has a slope of 3, which means it continuously increases or decreases without bound. Therefore, the range is (-∞, ∞).

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