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Sketch the Function Represented by the Given Parametric Equations x=2t,y=tx = 2 ^ { t } , y = t

Question 205

Multiple Choice

Sketch the function represented by the given parametric equations. Then use the graph to determine each of the
following:
a. intervals, if any, on which the function is increasing and intervals, if any, on which the function is decreasing.
b. the number, if any, at which the function has a maximum and this maximum value, or the number, if any, at
which the function has a minimum and this minimum value.
- x=2t,y=tx = 2 ^ { t } , y = t
 Sketch the function represented by the given parametric equations. Then use the graph to determine each of the following: a. intervals, if any, on which the function is increasing and intervals, if any, on which the function is decreasing. b. the number, if any, at which the function has a maximum and this maximum value, or the number, if any, at which the function has a minimum and this minimum value. - x = 2 ^ { t } , y = t    A)  Increasing on:  ( 0 , \infty )     B)  Increasing on:  [ 1 , \infty )  ; Minimum:  ( 1,1 )     C)  Increasing on:  ( 0 , \infty )     D)  Decreasing on:  ( 0 , \infty )


A) Increasing on: (0,) ( 0 , \infty )
 Sketch the function represented by the given parametric equations. Then use the graph to determine each of the following: a. intervals, if any, on which the function is increasing and intervals, if any, on which the function is decreasing. b. the number, if any, at which the function has a maximum and this maximum value, or the number, if any, at which the function has a minimum and this minimum value. - x = 2 ^ { t } , y = t    A)  Increasing on:  ( 0 , \infty )     B)  Increasing on:  [ 1 , \infty )  ; Minimum:  ( 1,1 )     C)  Increasing on:  ( 0 , \infty )     D)  Decreasing on:  ( 0 , \infty )
B) Increasing on: [1,) [ 1 , \infty ) ; Minimum: (1,1) ( 1,1 )
 Sketch the function represented by the given parametric equations. Then use the graph to determine each of the following: a. intervals, if any, on which the function is increasing and intervals, if any, on which the function is decreasing. b. the number, if any, at which the function has a maximum and this maximum value, or the number, if any, at which the function has a minimum and this minimum value. - x = 2 ^ { t } , y = t    A)  Increasing on:  ( 0 , \infty )     B)  Increasing on:  [ 1 , \infty )  ; Minimum:  ( 1,1 )     C)  Increasing on:  ( 0 , \infty )     D)  Decreasing on:  ( 0 , \infty )
C) Increasing on: (0,) ( 0 , \infty )
 Sketch the function represented by the given parametric equations. Then use the graph to determine each of the following: a. intervals, if any, on which the function is increasing and intervals, if any, on which the function is decreasing. b. the number, if any, at which the function has a maximum and this maximum value, or the number, if any, at which the function has a minimum and this minimum value. - x = 2 ^ { t } , y = t    A)  Increasing on:  ( 0 , \infty )     B)  Increasing on:  [ 1 , \infty )  ; Minimum:  ( 1,1 )     C)  Increasing on:  ( 0 , \infty )     D)  Decreasing on:  ( 0 , \infty )
D) Decreasing on: (0,) ( 0 , \infty )
 Sketch the function represented by the given parametric equations. Then use the graph to determine each of the following: a. intervals, if any, on which the function is increasing and intervals, if any, on which the function is decreasing. b. the number, if any, at which the function has a maximum and this maximum value, or the number, if any, at which the function has a minimum and this minimum value. - x = 2 ^ { t } , y = t    A)  Increasing on:  ( 0 , \infty )     B)  Increasing on:  [ 1 , \infty )  ; Minimum:  ( 1,1 )     C)  Increasing on:  ( 0 , \infty )     D)  Decreasing on:  ( 0 , \infty )

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