Sketch the graph of the given function. Check your sketch using technology. f(x) = x + 4x + 4 (a) Indicate the x- and y-intercepts. (If an answer does not exist, enter DNE.) x-intercept (x, y) = y-intercept (x, y) (b) Indicate any extrema. (If an answer does not exist, enter DNE.) -Select-- (x, y) = (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (x, y) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
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Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 91E
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Sketch the graph of the given function. Check your sketch using technology. f(x)=x^2+4x+4 (a) indicate the X and Y intercepts. (b) indicate any extrema (x,y) (c) indicate any points of inflection. (d) indicate the behavior near singular points of F. (e) indicate the behavior at infinity. 
Sketch the graph of the given function. Check your sketch using technology.
f(x) = x² + 4x + 4
%3D
(a) Indicate the x- and y-intercepts. (If an answer does not exist, enter DNE.)
x-intercept
(x, y) =
y-intercept
(x, y) =
(b) Indicate any extrema. (If an answer does not exist, enter DNE.)
-Select-- v
(x, y) =
(c) Indicate any points of inflection. (If an answer does not exist, enter DNE.)
(x, y) =
(d) Indicate the behavior near singular points of f.
Oy → +∞ as x → 0
Oy→0 as x → -2
y → +o as x → -2
y → +o as x → 2
O The function is defined everywhere on the domain.
(e) Indicate the behavior at infinity.
Oy→-o as x → oo
O y→-2 as x → fo
OY → +0 as x → -0; y → -o as x →
Oy + -0 as x → -0; y→ +o as x →
O y - +o as x too
Transcribed Image Text:Sketch the graph of the given function. Check your sketch using technology. f(x) = x² + 4x + 4 %3D (a) Indicate the x- and y-intercepts. (If an answer does not exist, enter DNE.) x-intercept (x, y) = y-intercept (x, y) = (b) Indicate any extrema. (If an answer does not exist, enter DNE.) -Select-- v (x, y) = (c) Indicate any points of inflection. (If an answer does not exist, enter DNE.) (x, y) = (d) Indicate the behavior near singular points of f. Oy → +∞ as x → 0 Oy→0 as x → -2 y → +o as x → -2 y → +o as x → 2 O The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. Oy→-o as x → oo O y→-2 as x → fo OY → +0 as x → -0; y → -o as x → Oy + -0 as x → -0; y→ +o as x → O y - +o as x too
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