Question

How do you find end ehavior of an exponential function??

Answer 1

You use the lead coefficient method
take the term with the highest exponent
for example
5x^4- 3x^3-2x^2+3x+1

the one we use is 5x^4 (Even exponent(4), positive coefficient (5)

Here's the rule
Odd exponent positive coefficient = falls at left rises at right
Odd exponent negative coefficient = rises at left falls at right
Even exponent positive coefficient = rises at both sides
Even exponent negative coefficient = falls at both sides