Question

select a point that has the minimum x-value. (●) enter the minimum x-value: -16 does the function have a maximum x- value? yes no select a statement to describe the domain: domain is a subset of all real numbers. enter an equation or inequality for the domain: does the function have a minimum y- value? yes no does the function have a maximum y- value? yes no (graph shows points (-16, -6), (0, -2), (20, 0) with x-axis from -30 to 24, y-axis from -15 to 15)

Explanation:

To determine the domain of the function from the graph, we analyze the x - values of the points on the graph.

Step 1: Identify the relevant x - values

The points on the graph are \((- 16,-6)\), \((0, - 2)\) and \((20,0)\). The smallest x - value among these is \(x=-16\) and the largest x - value is \(x = 20\).

Step 2: Determine the inequality for the domain

Since the domain consists of all x - values from \(-16\) (inclusive) to \(20\) (inclusive), the inequality that represents the domain is \(-16\leq x\leq20\)

Answer:

The equation or inequality for the domain is \(\boldsymbol{-16\leq x\leq20}\)