g) Find the domain and range of the function. What is the domain? Choose the correct answer below and, if necessary, fill in the answer box to complete your answer. A. The domain is (Type an inequality or a compound inequality.) B. The domain is all real numbers. What is the range? Choose the correct answer below and, if necessary, fill in the answer box to complete your answer. A. The range is (Type an inequality or a compound inequality.) B. The range is all real numbers.
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The Deep Dive
When determining the domain of a function, you want to find all the possible input values (usually x-values). For functions like polynomials, the domain is typically all real numbers, but for functions involving square roots or denominators, you must identify values that could make the expression undefined or negative under the square root. Similarly, the range refers to all possible output values (y-values) of the function. To find the range, look at how the function behaves and what values it can produce. For example, if your function outputs only positive values, you’d express that in inequality form, showing that y is greater than or equal to zero.
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