Analyze and sketch a graph of the function. Find any intercepts, relative e y = 64 x2 + 64 intercept (x, y) = 0, 0 (x, y) = -8, relative minimum 16 1 8, 6 relative maximum (x, y) = %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.)
y =
x2 + 64
intercept
(х, у) %3D
0,0
(х, у) - ( —8,
16
relative minimum
(х, у) %3
8,
16
relative maximum
V3
points of inflection (x, y) = (-8v3,
(smallest x-value)
32
(х, у)
0, 0
V3
(x, y) = (| 8V3,
32
(largest x-value)
Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.)
1
20
Transcribed Image Text:Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of inflection, and asymptotes. (If an answer does not exist, enter DNE.) y = x2 + 64 intercept (х, у) %3D 0,0 (х, у) - ( —8, 16 relative minimum (х, у) %3 8, 16 relative maximum V3 points of inflection (x, y) = (-8v3, (smallest x-value) 32 (х, у) 0, 0 V3 (x, y) = (| 8V3, 32 (largest x-value) Find the equations of the asymptotes. (Enter your answers as a comma-separated list of equations.) 1 20
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