Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Transcribed Image Text:What is the vertical asymptote for the function
f(x) = 4x
Ox=0
Ox=1
x = 4
y=1
y = -1
What is the end-behavior asymptote for the function
f(x) = x+1
?
Oy=1
O y = 0
2
x=00
61
What are the critical points of the function
f(x) = x + = ?
63
The critical points are (2, 4) and (-2,-4).
The critical point is (-2, -4).
The critical point is (2, 4).
There isn't a critical point.
increasing?
Describe the concavity for the function
f(x) = 12x-x³.
CS
On what intervals is
f(x) =
(x+3)²
The graph is decreasing on the interval (-3, ∞ ).
The graph is increasing on the interval (-3, 3).
The graph is increasing on the interval (-3,0).
The graph is increasing on the interval (-∞, 0).
f(x) is concave up for the interval (-
f(x) is concave up for the interval (-
f(x) is concave down for the interval (-
f(x) is concave down for the interval (
Describe the concavity for the function
- 3x + 2.
f(x) = x³
What is the end-behavior asymptote for the function
f(x) = -7
2
o y = -7
y = 0
y=7
67
62
What are the critical points of the function
f(x) = 5x²?
Ox= 10
The critical point is (5, 0).
The critical point is (0, 5).
The critical points are (0, 5) and (5, 0).
There isn't a critical point.
On what intervals is
f(x) = 6x-2x² decreasing?
The graph is decreasing on the interval (3.00).
The graph is decreasing on the intervals
(-∞0, 2) and
(³3,00).
The graph is decreasing on the interval (-0,3)
The graph is increasing on the intervals
(-00,-) and
(²,00).
What is the relative minimum value of the function.
f(x) = 5-6x-x²₂
68
64
,0) and concave up for the interval (0).
,0) and concave down for the interval (0)
,0) and concave down for the interval (0
.0) and concave up for the interval (0)
f(x) has a relative maximum value at x = 0, and its value is f(0) = 5.
f(x) has a relative maximum value at x = 1, and its value is f(1) = -2.
f(x) has a relative maximum value at x = -3, and its value is f(-3) = 14.
f(x) has a relative maximum value at x = 3, and its value is f(3) = -22.
).
f(x) is concave up for the interval (-∞, 0) and concave down for the interval (0,0).
f(x) is concave down for the interval (-0, 0) and concave up for the interval (0,0).
Of(x) is concave down for the interval (-0, 0) and concave down for the interval (0,0).
f(x) is concave up for the interval (-∞, 0) and concave up for the interval (0,..).
сь
70
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