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Find domain and range. f(x)=2|x+2|-8

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Answer:

Domain: All real numbers, -∞ < x < ∞

Range: Everything equal to and above y ≥ -8

Explanation:

I have attached a graph of this function below. The domain is all possible x-values of the function (the inputs) and the range is all possible y-values (the outputs) of the function. I will be writing these with inequalities since it is not specified in the question.

Here, the domain is all real numbers. This is because the function's x-values go from -∞ to ∞, it never stops. This can be written as -∞ < x < ∞.

We see a point at (-2, -8) and that the graph is all above this point. This gives us a range of y ≥ -8.

Find domain and range. f(x)=2|x+2|-8-example-1
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