Identify the horizontal asymptote of g ( x ) = ( 7 8 ) x + 7 g ( x ) = \left( \frac { 7 } { 8 } \right) ^ { x } + 7 g ( x ) = ( 8 7 ) x + 7 .A) y = 7 7 8 y = 7 \frac { 7 } { 8 } y = 7 8 7 B) x -axisC) y=-7D) y=7E) y = − 7 8 y = - \frac { 7 } { 8 } y = − 8 7

Question

Identify the horizontal asymptote of   g ( x )  = ( 7 8 )  x + 7 g ( x )  = \left( \frac { 7 } { 8 } \right)  ^ { x } + 7 g ( x )  = ( 8 7 ​ )  x + 7   .A)    y = 7 7 8 y = 7 \frac { 7 } { 8 } y = 7 8 7 ​ B) x -axisC)  y=-7D)  y=7E)    y = − 7 8 y = - \frac { 7 } { 8 } y = − 8 7 ​

Austin Axenfeld · Accepted Answer

Final Answer : D, Explanation :   The horizontal asymptote of   g ( x ) = ( 7 8 ) x + 7 g(x) = \left( \frac{7}{8} \right)^x + 7 g ( x ) = ( 8 7 ​ ) x + 7   is   y = 7 y = 7 y = 7  , because as   x x x   approaches infinity, the term   ( 7 8 ) x \left( \frac{7}{8} \right)^x ( 8 7 ​ ) x   approaches 0, leaving   y = 7 y = 7 y = 7   as the horizontal asymptote.

Identify the horizontal asymptote of $\left( \frac { 7 } { 8 } \right) ^ { x } + 7$ .

A) $\frac { 7 } { 8 }$
B) x -axis
C) y=-7
D) y=7
E) $\frac { 7 } { 8 }$

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Identify the horizontal asymptote of g(x) =(78) x+7g ( x ) = \left( \frac { 7 } { 8 } \right) ^ { x } + 7g(x) =(87​) x+7 .A) y=778y = 7 \frac { 7 } { 8 }y=787​ B) x -axisC) y=-7D) y=7E) y=−78y = - \frac { 7 } { 8 }y=−87​

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Learning Objectives

Learning Objectives

Related questions

Identify the horizontal asymptote of $\left( \frac { 7 } { 8 } \right) ^ { x } + 7$ .

A) $\frac { 7 } { 8 }$
B) x -axis
C) y=-7
D) y=7
E) $\frac { 7 } { 8 }$