Questions: The entire graph of the function (f) is shown in the figure below. Write the domain and range of (f) using interval notation. (a) domain = (b) range =

The entire graph of the function (f) is shown in the figure below. Write the domain and range of (f) using interval notation.
(a) domain = 
(b) range =
Transcript text: The entire graph of the function $f$ is shown in the figure below. Write the domain and range of $f$ using interval notation. (a) domain = $\square$ (b) range $=$ $\square$
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Solution

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Solution Steps

Step 1: Find the Domain

The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this graph, the function is defined from x = -4 to x = 5. The solid dot at x = -4 indicates that -4 is included in the domain. The open circle at x = 5 indicates that 5 is not included.

Step 2: Find the Range

The range of a function is the set of all possible output values (y-values) resulting from the input values in the domain. The lowest y-value is -4 (inclusive because of the solid dot), and the highest y-value is 3 (exclusive because of the open circle).

Final Answer

(a) domain = [-4, 5) (b) range = [-4, 3)

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