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The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
Answer Identify the input values. Since there is an even root, exclude any real numbers that result in a negative number in the radicand. Set the radicand greater than or equal to zero and solve for x. The solution(s) are the domain of the function. If possible, write the answer in interval form.
The range for the given function {(-2, 0), (-4, -3), (2, -9), (0, 5), (-5, 7)} is R: {-9, -3, 0, 5, 7}.
What is the domain of the given function? {(3, -2), (6, 1), (-1, 4), (5, 9), (-4, 0)} We know that the domain is formed by the values of x that are given as inputs for the function. Therefore, the domain of the given function is {x | x = -4, -1, 3, 5, 6}.
To find the domain of a function, just plug the x-values into the quadratic formula to get the y-output. To find the range of a function, first find the x-value and y-value of the vertex using the formula x = -b/2a. Then, plug that answer into the function to find the range.