justbeelise justbeelise
  • 07-05-2018
  • Mathematics
contestada

What is the range of the function (e^x)/(e^x)+c? Assume that c is a constant greater than zero.

Respuesta :

evgeniylevi
evgeniylevi evgeniylevi
  • 07-05-2018
Try this explanation:
1. if to re-write the given function as:
[tex]y= \frac{e^x}{e^x+C}; \ \ \textless \ =\ \textgreater \ \ y=1- \frac{C}{e^x+C};[/tex]
then it is possible to define its range:
2)   
[tex] \lim_{x \to+ \infty}[1- \frac{C}{e^x+C}]=1; \\ \lim_{x \to- \infty}[1- \frac{C}{e^x+C}]=0[/tex]

answer: (0;1)
Answer Link

Otras preguntas

do you agree with the American government's decision to declare war against Japan? why or why not
How many inches are in 8 feet
62 is 56% of what number?
A factory worker packs 32 mugs into the bottom layer of a box for shipping. If each box can hold 6 layers of mugs, how many mugs can be packed into each box?
solve for y 2x+y=3 thank you.
Ethan has $1.25 in dimes, nickels, and pennies. He has twice as many dimes as pennies, and the number of nickels is one less thank the number of pennies. How m
When did the LGBT establish? 1985 1950 1970 1975
A 65 Kg roller-blade is accelerating at 5 m/s/s across the side walk. What force would be necessary for this acceleration to occur?
Anyone know this problem
Read the excerpt below and answer the question. With a glance she sets her hair ablaze and whirls suddenly with daring art her whole dress into this fiery rapt