Question

I need help with 3 x (1/2)^x an exponential function, can someone go through domain, range, horozontal aysmptote, and graphing

Answer 1

the range is y>1

Answer 2

if x is 0 y=2 the domain is all real numbers.

Answer 3

Domain is all Real x

Answer 4

and the horizontal asymptote is 1

Answer 5

please keep in mind that the graph of y=f(x)=2^x, is:

so in order to get your graph we have to add to y-corrdinates of all point of 2^x, the quantity +1

Answer 6

I don't understand the drawing of the graph

Answer 7

it is a standard graph which you can find on your textbook

Answer 8

do you understand why it pass through y = 1?

Answer 9

for example, I write these limits:
\[\lim _{x \rightarrow +\infty} 2^{x}=+\infty\]
and
\[\lim _{x \rightarrow -\infty}2^{x}=0\]
do you agree?

Answer 10

ooops sorry it should pass through y=2

Answer 11

I'm sorry but I have the wrong problem up, it's
\[3 \times (1/2)^{x}\]

Answer 12

yep. make x 0 and you get 1 + 1.

Answer 13

the y intercept is at y=3