The entire graph of the function h is shown in the figure below. Write the domain and range of h as intervals or unions of intervals. 1+ -2 -2+ 3+ 4+ 00 EXPLANATION

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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O LINES AND FUNCTIONS
D 0/5
Tamara V
Domain and range from the graph of a piecewise function
Español
2 QUESTION
The entire graph of the function h is shown in the figure below.
Write the domain and range of h as intervals or unions of intervals.
圖
-3-
oO EXPLANATION
Start
O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibility
Tme Tange IS the set o all the TiuIDers tiiat dppear as y-COorumates or ponts oT the grapm.
• Domain of the function h:
The numbers that appear as x-coordinates of points on the graph make up the two intervals (-5, 0] and (2, 5). This can
be seen by projecting the graph onto the x-axis, as shown in Figure 1.
So, the domain of the function is the union (-5, 0] U (2. 5).
Figure 1. The domain of h is
(-5, 0o]u (2, 5).
• Range of the function h:
The numbers that appear as y-coordinates of points on the graph make up the interval (-3, 4). This can be seen by
projecting the graph onto the y-axis, as shown in Figure 2.
Figure 2. The range of h is
(-3, 4).
EO ANSWER
domain =
(-5, o]u (2, 5)
range = (-3, 4)
II
Learning Page
Transcribed Image Text:O LINES AND FUNCTIONS D 0/5 Tamara V Domain and range from the graph of a piecewise function Español 2 QUESTION The entire graph of the function h is shown in the figure below. Write the domain and range of h as intervals or unions of intervals. 圖 -3- oO EXPLANATION Start O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center Accessibility Tme Tange IS the set o all the TiuIDers tiiat dppear as y-COorumates or ponts oT the grapm. • Domain of the function h: The numbers that appear as x-coordinates of points on the graph make up the two intervals (-5, 0] and (2, 5). This can be seen by projecting the graph onto the x-axis, as shown in Figure 1. So, the domain of the function is the union (-5, 0] U (2. 5). Figure 1. The domain of h is (-5, 0o]u (2, 5). • Range of the function h: The numbers that appear as y-coordinates of points on the graph make up the interval (-3, 4). This can be seen by projecting the graph onto the y-axis, as shown in Figure 2. Figure 2. The range of h is (-3, 4). EO ANSWER domain = (-5, o]u (2, 5) range = (-3, 4) II Learning Page
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