Question

The graph of a square root function has a domain of (0, ∞) and range of [1, ∞). In two or more complete sentences, explain how the given range of the function can help you to the maximum or minimum y-value of the function.

Answer 1

The graph of a square root function has a domain of (0, ∞) and range of [1, ∞). The given range of the function can help you to the maximum or minimum y-value of the function by graphing it in an x-y coordinate plane and you can identify the minima and maxima.

Answer 2

we know that

Range of a function is the values that a function can take in its domain

The range interval of a function is between the minimum value and the maximum value that the function can take

so

in this problem

The range of the function is the interval------->  [1, ∞)

That means

The minimum value of the function in the domain is $1$

The maximum value of the function in the domain is infinite