Question

Write the domain and range of the function using interval notation.

Answer 1

Answer:

Domain [-5,3)

Range [0,2]

Step-by-step explanation:

Domain is where the function exists for the x's.

The graph starts at x=-5 and ends at x=3. The graph includes what happened at x=-5 but not at x=3. Since there are no breaks in the graph, the graph exists for x values bigger that or equal to -5 but less than 3.

The domain is [-5,3) in interval notation.

Range is very similar except it is for the y values. So the graph starts at y=0 and stops at y=2. It includes something happening at both and there are no breaks between y=0 and y=2.

The range in interval notation is [0,2].

Answer 2

The values are (x = -5) and (x = 3). But the graph includes what happened at (x = -5) but not (x = 3), therefore, the domain is [-5,0). The values are (y = 0) and (y = 2) and the graph includes what happened at (y = 0) and (y = 2), therefore, the range is [0,2].

Domain is nothing but the value of x in the equation (y = f(x)) and range is nothing but the value of y in the equation (y = f(x)).

So, from the given graph there are two values of 'x' at which the graph of the function gets started and ends.

The values are (x = -5) and (x = 3). But the graph includes what happened at (x = -5) but not (x = 3). Therefore, the domain of the given graph is:

$x\; \epsilon\;[-5,3)$

Similarly, there are two values of 'y' at which the graph of the function gets started and ends.

The values are (y = 0) and (y = 2) and the graph includes what happened at (y = 0) and (y = 2). Therefore, the range of the given graph is:

$y\; \epsilon\;[0,2]$

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https://brainly.com/question/2263981