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Asked Sep 24, 2019
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GRAPHS AND FUNCTIONS
Domain and range from the graph of a continuous function
The entire graph of the function g is shown in the figure below
Write the domain and range of g using interval notation
5
(a) domain
(O (O
2-
(b) range
1
O)
OUO
-3
4
2
-OO
-1
-2-
-3
-4
-5-
X
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GRAPHS AND FUNCTIONS Domain and range from the graph of a continuous function The entire graph of the function g is shown in the figure below Write the domain and range of g using interval notation 5 (a) domain (O (O 2- (b) range 1 O) OUO -3 4 2 -OO -1 -2- -3 -4 -5- X

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Expert Answer

Step 1

The graph of the function is given as cap shaped parabola with vertex at (0, 4).

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The black dot is on the left of y-axis and the circle is on the right, which means the domain is the semi-open or semi-closed interval As the black dot on the number line denotes that the interval is closed at that value and the circle denotes that the interval is open, the intervalbecomes -3, 3) which is the domain of the function g

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Step 2

For the values x = –3 or 3, the value of g is –5...

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The highest value in the range is 4 as the graph from the point (0, 4), is moving downwards Hence, the range becomes -5, 4]

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Calculus

Functions

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