6. The figure to the right shows the graph of y= f(x), 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(-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. = -3 -2 -1 A(-1,-2) 3 2 1 1 -2 -3 B(2,3) 2 3 f(x) 4 C(4,1) x
6. The figure to the right shows the graph of y= f(x), 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(-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. = -3 -2 -1 A(-1,-2) 3 2 1 1 -2 -3 B(2,3) 2 3 f(x) 4 C(4,1) x
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The figure to the right shows the graph
f(x), including three specific
of y
points A, B, and C. In all parts of this
problem, f is the function shown in this
drawing.
Home - Canvas
-
(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
F3 F4
-
F5
-3 -2 -1
O Search
A(-1,-2) -
2
4
F6
3
+2
- 1
1
-2
−3
ๆ
B (2,3)
(f) m(x) = -f(x41) +1
(g) p(x) = f(3-x)
2
Page
3
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.)
f(x)
+
4
Download
C(4,1)
I
3
E
2
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