Domain = all possible x values
Range = all possible y values
example = Domain: {0, 5), Range: (5,10)
Answer:
Step-by-step explanation:
Take a look at the function f(x) = √(x-1). The input to the square root function MUST be ≥ 0. Write and solve the inequality x-1 ≥ 0:
Adding 1 to both sides, we get x ≥ 1, or [1,infinity). This is the domain, the set of numbers for which f(x) is defined.
The smallest value that f(x) = √(x-1) can take on is 0 (at x=1). Thus, the range is y≥0. or [0,infinity). The range is the set of all possible output values of the function with which we are concerned.