Questions: Find the domain and range of the function graphed below.
Domain: [-3,2]
Range: [-4,4]
Transcript text: Find the domain and range of the function graphed below.
Domain: $[-3,2]$
Range: $[-4,4]$
Solution
Solution Steps
Step 1: Identify the Domain
The domain of a function is the set of all possible input values (x-values) for which the function is defined. From the graph, the function starts at \( x = -3 \) and ends at \( x = 2 \). Therefore, the domain is \([-3, 2]\).
Step 2: Identify the 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 its highest point at \( y = 4 \) and its lowest point at \( y = -4 \). Therefore, the range is \([-4, 4]\).