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Sketch the graph of the given function. Check your sketch using technology. g(t) = (a) Indicate the t- and y-intercepts. (If an answer does not exist, enter DNE.) t-intercept (t, y) y-intercept (t, y) =

Sketch the graph of the given function. Check your sketch using technology. g(t) = (a) Indicate the t- and y-intercepts. (If an answer does not exist, enter DNE.) t-intercept (t, y) y-intercept (t, y) =

Algebra & Trigonometry with Analytic Geometry
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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Sketch the graph of the given function. Check your sketch using technology. g(t) = e (a) Indicate the t- and y-intercepts. (If an answer does not exist, enter DNE.) t-intercept (t, у) y-intercept (t, у) (b) Indicate any extrema. (If an answer does not exist, enter DNE.) |---Select-- v (t, у) 1)- (c) Indicate any points of inflection. (Order your answers from smallest to largest t. If an answer does not exist, enter DNE.) (t, у) - [ (t, у) %3! (d) Indicate the behavior near singular points of f. Oy - +o as t → 0 +00 O y - 0 as t -→0 O y - -o as t → 0 O y -1 as t → 0 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. y - -o as t → -0; y → +o as t → +o y → +00 as t→ -00; y → -00 as t → +00 O y - 0 as t → t0 y - +00 as t → t0 O y-- -o as t t00
Transcribed Image Text:Sketch the graph of the given function. Check your sketch using technology. g(t) = e (a) Indicate the t- and y-intercepts. (If an answer does not exist, enter DNE.) t-intercept (t, у) y-intercept (t, у) (b) Indicate any extrema. (If an answer does not exist, enter DNE.) |---Select-- v (t, у) 1)- (c) Indicate any points of inflection. (Order your answers from smallest to largest t. If an answer does not exist, enter DNE.) (t, у) - [ (t, у) %3! (d) Indicate the behavior near singular points of f. Oy - +o as t → 0 +00 O y - 0 as t -→0 O y - -o as t → 0 O y -1 as t → 0 The function is defined everywhere on the domain. (e) Indicate the behavior at infinity. y - -o as t → -0; y → +o as t → +o y → +00 as t→ -00; y → -00 as t → +00 O y - 0 as t → t0 y - +00 as t → t0 O y-- -o as t t00
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