Identify the horizontal asymptote of g ( x ) = 4 x + 2 g ( x ) = 4 ^ { x + 2 } g ( x ) = 4 x + 2 .A) x -axisB) y=2C) y=-2D) y=16E) y=-16

Question

Identify the horizontal asymptote of   g ( x )  = 4 x + 2 g ( x )  = 4 ^ { x + 2 } g ( x )  = 4 x + 2   .A) x -axisB)  y=2C)   y=-2D)  y=16E)  y=-16

Veronica Mireles · Accepted Answer

Final Answer : A, Explanation :   The horizontal asymptote of an exponential function of the form   a x a^x a x   (where    0> a > 0 a  >  0 a > 0  ) is the x-axis, or   y = 0 y = 0 y = 0  , because as   x x x   approaches negative infinity,   a x a^x a x   approaches 0. The transformation   + 2 +2 + 2   in the exponent does not affect the horizontal asymptote.

Identify the horizontal asymptote of $g ( x ) = 4 ^ { x + 2 }$ .

A) x -axis
B) y=2
C) y=-2
D) y=16
E) y=-16

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Learning Objectives

Related questions

Identify the horizontal asymptote of g(x) =4x+2g ( x ) = 4 ^ { x + 2 }g(x) =4x+2 .A) x -axisB) y=2C) y=-2D) y=16E) y=-16

Definitions

Learning Objectives

Learning Objectives

Related questions

Identify the horizontal asymptote of $g ( x ) = 4 ^ { x + 2 }$ .

A) x -axis
B) y=2
C) y=-2
D) y=16
E) y=-16