Answer:
Explanation:
Domain: set of all possible input values (x-values)
Range: set of all possible output values (y-values)
Given function:
As negative numbers don't have real square roots:
Therefore, to find the domain, solve the inequality.
Subtract 1 from both sides:
Divide both sides by -1 (reverse the inequality):
Divide both sides by 4:
Therefore:
To find the range, input the endpoints of the domain into the function:
To find the limit of the range, find the extreme point(s) of the function by differentiating the function and setting it to zero.
Setting it to zero and solving for x:
Substitute x = 0 into the function:
Therefore, the range is [0, 1]