Question

does the function have a minimum y - value?
select a point that has the minimum y - value.
enter the minimum y - value:
does the function have a maximum y - value?
select a statement to describe the range:
enter an equation or inequality for the range:

Explanation:

Step1: Determine if the function has a minimum y - value

Looking at the graph, as \(x\) moves to the right, the function values increase. The lowest point (in terms of \(y\) - value) on the graph is at the point \((25,9)\). So the function has a minimum \(y\) - value.

Step2: Enter the minimum y - value

The \(y\) - coordinate of the minimum point \((25,9)\) is \(9\).

Step3: Select the statement for the range

Since the minimum \(y\) - value is \(9\) and the function values increase from \(y = 9\) (as \(x\) moves to the right) and there is no upper - bound (as \(x\) increases, \(y\) increases without bound), the range is \(y\geq9\), which means the range is a subset of all real numbers.

Answer:

• Does the function have a minimum \(y\) - value? Yes
• Enter the minimum \(y\) - value: \(9\)
• Select a point that has the minimum \(y\) - value: \((25,9)\)
• Select a statement to describe the range: Range is a subset of all real numbers.