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 =
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 $=$ $\square$
Solution
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).