Answer:
Step-by-step explanation:
To determine the domain and range of the function
ℎ
h based on the graph, we look at the horizontal (x-axis) and vertical (y-axis) extents of the graph, respectively.
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, it appears that the function is defined for all real numbers from approximately -2 to 3. We can express this as the interval
[−2,3]
[−2,3] in interval notation.
Range: The range of a function is the set of all possible output values (y-values) that the function can produce. Looking at the graph, it seems that the function's output ranges from approximately -3 to 2.5. We can express this as the interval
[−3,2.5]
[−3,2.5] in interval notation.
Therefore, the domain of ℎ is [−2,3] and the range is [−3,2.5].
