QuestionDetermine the domain and range of the function .
Studdy Solution
STEP 1
Assumptions1. The function is . We are looking for the domain and range of this function3. The domain of a function is the set of all possible input values (t-values in this case) that will output a real number4. The range of a function is the set of all possible output values (y-values in this case)
STEP 2
First, let's find the domain of the function. The domain of a function is the set of all possible input values (t-values in this case) that will output a real number.For a cubic root function, there are no restrictions on the domain because you can take the cubic root of any real number. So, the domain of the function is all real numbers.
STEP 3
Next, let's find the range of the function. The range of a function is the set of all possible output values (y-values in this case).
For a cubic root function, there are also no restrictions on the range because the cubic root of any real number can be any real number. So, the range of the function is all real numbers.
So, the domain and range of the function are all real numbers.
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