SOPHIA COLLEGE ALGEBRA MILESTONE 5 – ALL ANSWERS !!!

SOPHIA COLLEGE ALGEBRA MILESTONE 5 – ALL ANSWERS !!! You passed this Milestone 21 questions were answered correctly. 1 question was answered incorrectly. 1 Consider the function . What are the domain and range of this function? • • correct • • RATIONALE A Square root function has the domain restriction that the radicand (the value underneath the radical) cannot be negative. To find the specific domain, construct an inequality showing that the radicand must be greater than or equal to zero. The expression under the radical, , must be greater than or equal to zero. To solve this inequality, add to both sides to undo the subtraction of . This tell us that must be greater than or equal to . In other words, must be less than or equal to . We can write this inequality in the other direction. This is the domain of the function, which means all values must be less than or equal to . To find the range, consider the fact that it is not possible for the input of the function to be a negative number. For all x-values less than or equal to , the function will have non-negative values for y that only get bigger and bigger as x increases. The range is all values greater than or equal to zero.