Questions: Use the graph to determine the following. a. the function's domain b. the function's range Assume that the graph of the function continues its trend beyond the displayed coordinate grid. a. What is the function's domain? (Type your answer in interval notation.) b. What is the function's range? (Type your answer in interval notation.)

Use the graph to determine the following.
a. the function's domain
b. the function's range

Assume that the graph of the function continues its trend beyond the displayed coordinate grid.
a. What is the function's domain?
(Type your answer in interval notation.)
b. What is the function's range?
(Type your answer in interval notation.)

Transcript text: Use the graph to determine the following. a. the function's domain b. the function's range Assume that the graph of the function continues its trend beyond the displayed coordinate grid. a. What is the function's domain? (Type your answer in interval notation.) b. What is the function's range? (Type your answer in interval notation.)

Solution

Solution Steps

Step 1: Identify the Function's Domain

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 function appears to extend infinitely in both the positive and negative x-directions. Therefore, the domain includes all real numbers.

Step 2: Identify the Function's Range

The range of a function is the set of all possible output values (y-values) that the function can produce. From the graph, the function reaches a minimum value at y = -5 and extends infinitely upwards. Therefore, the range includes all real numbers greater than or equal to -5.

Final Answer

Domain: \((-\infty, \infty)\)
Range: \([-5, \infty)\)

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