How Do You Verbally Explain The Domain & Range Of A Square Root Function?
A square root function is any function of the form A times the square root of an expression containing X plus D, where A and D are real numbers. The domain and range of any square root can be explained through a few simple rules. Define the domain of a function as the set of X values for which the function is defined. Explain that the square root function is only defined if the expression under the square root is equal to or greater than zero. Explain how to calculate values of X for which the function is defined by creating an inequality in which the expression under the square root is greater than or equal to zero. Solving this inequality gives the domain of the function. Define the range of the function as the set of all values produced by the function. Decide whether the result of the square root being taken will be positive or negative. For it to be a function, there must only be one output for each X value; therefore, only positive or negative results may be used. Explain that th