the equation of h if h(x)=-g(x)+12. Describe the tran g(x)=-x, h and p are shown. The graph of f cuts the axes at A, B and C. Line p cuts the the equation of p and the value of its gradient. graphs of (x)3D-x+9 x-axis at B and is parallel to the y-axis. Determine: (1) the coordinates of A, B, and C. (2) the values of x for which f is increasing B (3) the values of x for which g is decreasing (4) the maximum value of f and g (5) the turning points of f and g (6) the equation of the axis of symmetry for / (7) the domain and range of f and g (8) 8 the cquation of h if h(x) =-g(x)+12. Describe he (9)

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 equation of h if h(x)=-g(x)+12. Describe the tran
In the diagram, the graphs of f(x)=-x'+9
g(x)=-x, h and p are shown. The graph of
(b)
f cuts the axes at A, B and C. Line p cuts the
CIN
x-axis at B and is parallel to the y-axis.
Determine:
(1)
the coordinates of A, B, and C.
(2)
the values of x for which f is increasing
(3)
the values of x for which g is decreasing
(4) the maximum value off and g
the turning points of f and g
p of l or-1
(5)
(6)
the equation of the axis of symmetry for /
(7)
the domain and range of f and g
(8)
(9)
the equation ofp and the value d
of its gradient.
(10) the domain and range of p
Transcribed Image Text:the equation of h if h(x)=-g(x)+12. Describe the tran In the diagram, the graphs of f(x)=-x'+9 g(x)=-x, h and p are shown. The graph of (b) f cuts the axes at A, B and C. Line p cuts the CIN x-axis at B and is parallel to the y-axis. Determine: (1) the coordinates of A, B, and C. (2) the values of x for which f is increasing (3) the values of x for which g is decreasing (4) the maximum value off and g the turning points of f and g p of l or-1 (5) (6) the equation of the axis of symmetry for / (7) the domain and range of f and g (8) (9) the equation ofp and the value d of its gradient. (10) the domain and range of p
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