Questions: Give the domain and the range of the function whose graph is shown to the right. When arrows are drawn, assume the function continues in the indicated direction. The domain is (Type your answer in interval notation.) The range is (Type your answer in interval notation.)

Solution Steps

The domain of a function is the set of all possible input values (x-values) for which the function is defined. Observing the graph, the arrows indicate that the function continues indefinitely in both the left and right directions along the x-axis.

Since the function continues indefinitely in both directions, the domain includes all real numbers. Therefore, the domain in interval notation is: \[ (-\infty, \infty) \]

The range of a function is the set of all possible output values (y-values) that the function can take. Observing the graph, the lowest point on the graph is at y = -4 and the highest point is at y = 4. The function includes all y-values between -4 and 4.

Since the function includes all y-values from -4 to 4, the range in interval notation is: \[ [-4, 4] \]

Final Answer