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

Here

`\\ \sf\longmapsto Domain=(0,\infty)`

`\\ \sf\longmapsto Range=(1,\infty)`

The function has positive integral values as it lies in 1st Quadrant

`\\ \sf\longmapsto (x,y)=(1,\infty)`

• It has minimum value 1
• It has infinite or no maximum values

Answer 2

As per given domain and range we can conclude that:

• The function has positive domain only, since x = (0, ∞).
• The function has minimum value of 1 and no maximum value, since y = [1, ∞)