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MATH 1710- Homework 4: Calculus Solutions - Prof. Tsz Chan, Assignments of Pre-Calculus

Solutions for homework 4 of math 1710. It includes answers for problems related to sections 1.2, 1.5, and 1.6. Topics covered are function values, intervals of increase, decrease, and constancy, and function composition.

Typology: Assignments

Pre 2010

Uploaded on 07/28/2009

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MATH 1710-005 Homework #4 (due 2/13 Fri)
Please show your works.
1. Section 1.2
#28
#88
2. Section 1.5
#44 Use the graph to determine on which intervals the function is increasing, decreasing and con-
stant. Also locate any relative maximum and minimum.
#64
3. Section 1.6
Let
f
(
x
) =
x
+1
x
and
g
(
x
) =
p
x
+ 1.
(a) Find (
f
g
)(
x
) and (
f
g
)(
x
) and nd their domains.
(b) Find (
f
g
)(
x
) and (
g
g
)(
x
) and nd their domains.

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MATH 1710-005 Homework #4 (due 2/13 Fri) Please show your works.

  1. Section 1.

  1. Section 1. #44 Use the graph to determine on which intervals the function is increasing, decreasing and con- stant. Also locate any relative maximum and minimum.

  1. Section 1. Let f (x) = x+1 x and g(x) = px + 1. (a) Find (f g)(x) and (f  g)(x) and nd their domains. (b) Find (f  g)(x) and (g  g)(x) and nd their domains.