hannahpetty1111 hannahpetty1111
  • 07-10-2020
  • Mathematics
contestada

The function f(x)=2+e^x has an asymptote at ________.

Respuesta :

jimthompson5910 jimthompson5910
  • 07-10-2020

Answer: Horizontal asymptote at y = 2

As x approaches negative infinity, the e^x term slowly approaches 0

This means 2+e^x approaches 2+0 = 2

So that's why we have a horizontal asymptote at y = 2

The graph approaches the line y = 2 but doesn't touch or cross it. Think of it like an electric fence.

The graph is below.

Ver imagen jimthompson5910
Answer Link

Otras preguntas

determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exis
What are the sides of the DNA ladder made of?
what is aas congruence?
7 - 3 ( 5t - 10 ) = 67
determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exis
Use the REMAINDER THEOREM to explain whether or not (x-2) is a factor of F(x)=x^4-2x^3+3x^2-10x+3
What are the sides of the DNA ladder made of?
7 - 3 ( 5t - 10 ) = 67
7 - 3 ( 5t - 10 ) = 67
What did the Egyptians call the area that we now call Sudan?