Question

f(x) = -8x4 – 3x + 2

1. Given the function above, what is the right end behavior?

2. Given the function above, what is the left end behavior?

3. Given the function above, what is the maximum number of turns?

Answer 1

if the absolute value of x is big, x^4 dominates and is always + so -8x^4 is negative huge so way left or way right y----> negative infinity
a straight line mx+b never turns
a quadratic turns once
a cubic turns twice max
a quartic turns three times max