3. Given the function h(x) = - 2 (x-1)² a) Determine the restrictions on x and state the domain of h. b) Sketch a graph of the function, using technology. i) to the left of the vertical asymptote suple of c) Describe the behaviour of the graph to the left and right of the restrictions. Investigate the slope, and the change in slope, for the following in ii) to the right of the vertical asymptote gainorob

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Related questions
Question
2
(x-1)²
a) Determine the restrictions on x and state the domain of h.
3. Given the function h(x)=
b) Sketch a graph of the function, using technology.
●
d)
e)
(x)\n nol
c) Describe the behaviour of the graph to the left and right of the restrictions.
ii) to the right of the vertical asymptote
ban
State the range of the function.
gaan bas
publ
svi
gnienotash 10 galémont
Investigate the slope, and the change in slope, for the following intervals:
i) to the left of the vertical asymptote
EN
302 916 rigs
Explain why the graph of g(x) is different from those in questions 1 and 2.
18
Transcribed Image Text:2 (x-1)² a) Determine the restrictions on x and state the domain of h. 3. Given the function h(x)= b) Sketch a graph of the function, using technology. ● d) e) (x)\n nol c) Describe the behaviour of the graph to the left and right of the restrictions. ii) to the right of the vertical asymptote ban State the range of the function. gaan bas publ svi gnienotash 10 galémont Investigate the slope, and the change in slope, for the following intervals: i) to the left of the vertical asymptote EN 302 916 rigs Explain why the graph of g(x) is different from those in questions 1 and 2. 18
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