In Exercises 77—82, graph each function and state its domain and range. Determine the intervals over which the function is increasing, decreasing, or constant. f ( x ) = { x + 1 i f x ≥ 0 − x + 1 i f x < 0
In Exercises 77—82, graph each function and state its domain and range. Determine the intervals over which the function is increasing, decreasing, or constant. f ( x ) = { x + 1 i f x ≥ 0 − x + 1 i f x < 0
Solution Summary: The author explains the domain and range of a given function. The function is increasing, decreasing, and constant.
In Exercises 77—82, graph each function and state its domain and range. Determine the intervals over which the function is increasing, decreasing, or constant.
1. For each of the following, find the critical numbers of f, the intervals on which f is increasing or decreasing, and the relative
maximum and minimum values of f.
(a) f(x) = x² - 2x²+3
(b) f(x) = (x+1)5-5x-2
(c) f(x) =
x2
x-9
2. For each of the following, find the intervals on which f is concave upward or downward and the inflection points of f.
(a) f(x) = x - 2x²+3
(b) g(x) = x³- x
(c) f(x)=x-6x3 + x-8
3. Find the relative maximum and minimum values of the following functions by using the Second Derivative Test.
(a) f(x)=1+3x² - 2x3
(b) g(x) = 2x3 + 3x² - 12x-4
Find the
Soultion to the following dy
differential equation using Fourier in
transforms:
=
, хуо, ухо
according to the terms:
lim u(x,y) = 0
x18
lim 4x (x,y) = 0
x14
2
u (x, 0) =
=\u(o,y) =
-y
لو
Chapter 1 Solutions
Pearson eText for Precalculus: A Unit Circle Approach -- Instant Access (Pearson+)
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