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

The entire graph of the function h is shown in the figure below. Write the domain and range of h using interval notation.
(a) domain = 
(b) range =
Transcript text: The entire graph of the function $h$ is shown in the figure below. Write the domain and range of $h$ 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 represents the set of all possible x-values. The graph starts at $x=-5$ with a closed circle and ends at $x=4$ with an open circle. So the domain is $[-5, 4)$.

Step 2: Find the range

The range represents the set of all possible y-values. The maximum y-value is $3$ included and the minimum y-value is $-4$ not included. So the range is $(-4,3]$.

Final Answer:

Domain: $[-5, 4)$ Range: $(-4, 3]$

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