For each of the following functions, sketch its graph, and state its domain and range. (It may help to start by determining where points A, B, and C "move" for each function.) (d) h(r)=2f(x) (e) k(x)=2f(x-3)+1 (f) m(r) = -f(r ) +1 (g) p(r) = f(3r)

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Chapter2: Second-order Linear Odes
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For each of the following functions, sketch its graph, and state its domain and range (It may help to start by determining where points A, B, and C "move" for each function.) (d) h(x) = 2f(x) (e) k(x)= 2f(x - 3) + 1 (f) m(x) = -f(x+ 1) + 1 (g) P(x) = f(3-x)
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(D) Suppose that the area of the square may be no greater than 5 m. Under this
condition, what is the domain of the function A(z)? Give an exact answer, not
a decimal approximation.
6. The figure to the right shows the graph
of y=f(r), including three specific
points A, B, and C. In all parts of this
problem, f is the function shown in this
drawing.
(a) Based on the graph, what is the
value of f(-1)?
(b) Find the domain and range of f(x).
(c) Suppose g(x) f(x-3). Find
g(2), g(5), and g(7), and use these
values to show where points A, B,
and C "move" to on the graph of
g. Then sketch the graph of g, and
state its domain and range.
(d) h(x)=2f(x)
(e) k(x) = 2f(x-3)+1
3-2-1
Search
A(-1,-2)
3
-2
-3
B(2,3)
(f) m(x) = -f(x) + 1
(g) p(x) = f(3x)
f(x)
2 3 4
For each of the following functions, sketch its graph, and state its domain and range.
(It may help to start by determining where points A, B, and C "move" for each
function.)
DELL
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C(4,1)
3
Transcribed Image Text:rutgers.instructure.com/courses/240013/files?preview=33999898 Home - Canvas GroupMe M Gmail Page (D) Suppose that the area of the square may be no greater than 5 m. Under this condition, what is the domain of the function A(z)? Give an exact answer, not a decimal approximation. 6. The figure to the right shows the graph of y=f(r), including three specific points A, B, and C. In all parts of this problem, f is the function shown in this drawing. (a) Based on the graph, what is the value of f(-1)? (b) Find the domain and range of f(x). (c) Suppose g(x) f(x-3). Find g(2), g(5), and g(7), and use these values to show where points A, B, and C "move" to on the graph of g. Then sketch the graph of g, and state its domain and range. (d) h(x)=2f(x) (e) k(x) = 2f(x-3)+1 3-2-1 Search A(-1,-2) 3 -2 -3 B(2,3) (f) m(x) = -f(x) + 1 (g) p(x) = f(3x) f(x) 2 3 4 For each of the following functions, sketch its graph, and state its domain and range. (It may help to start by determining where points A, B, and C "move" for each function.) DELL Download C(4,1) 3
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