We need to find the end behavior of the next exponential function:
[tex]f(x)=5(4)^x-8[/tex]
The end behavior is determined by finding the limit:
[tex]\lim_{x\to\infty}5(4)^x-8=8[/tex]
and
[tex]\lim_{x\to-\infty}5(4)^x-8=-8[/tex]
As x→-infinite
f(x)→ -8
and
As x→ infinite
y→ infinite
