Question

. Determine an equation for the asymptote of the graph of y = 2^(x+3)+ 4

Answer 1

y=4

Answer 2

how?

Answer 3

what kindof asymptote?

Answer 4

y=4 is a horiztonal asymptote
as x gets big f(x) does not get close to anything it just gets really big
but if
x gets negative big f(x) approaches 4

Answer 5

asdjung plug some negative big values of x and see what happens to y

Answer 6

what happens if you plug in -700
-800
-900

Answer 7

how do you do that without a calculator?

Answer 8

if you have y=2^x
what do you think happens to f(x) as y gets closer to negative infinity

Answer 9

f(-5)=2^(-5)=1/32
when you have a negative you will get a fraction

Answer 10

so if we plug -9 in we would get something bigger on bottom than 32 right?

Answer 11

so 1/(a really big number) is close to zero

Answer 12

aight i get it now ! thnx

Answer 13

ok