Question

1. d = __________ r = ________ function? __________

Explanation:

Step1: Identify domain (D)

The domain is the set of all x - values of the points on the graph. Looking at the left - most and right - most x - values of the graph, we estimate the domain by finding the minimum and maximum x - coordinates of the points of the figure.

Step2: Identify range (R)

The range is the set of all y - values of the points on the graph. We find the minimum and maximum y - coordinates of the points of the figure to estimate the range.

Step3: Check if it's a function

Use the vertical line test. If any vertical line intersects the graph at more than one point, it is not a function.

Assume the left - most x - value is \(x_{min}=- 3\) and the right - most x - value is \(x_{max}=3\), so \(D = [-3,3]\). Assume the lowest y - value is \(y_{min}=-2\) and the highest y - value is \(y_{max}=2\), so \(R=[-2,2]\). When we apply the vertical line test, we can see that a vertical line can intersect the graph at more than one point.

Answer:

\(D = [-3,3]\), \(R=[-2,2]\), Function? No