Question

What is the end behavior of f(x) = –x^3 + 3?

Answer 1

What happens when you plug in a really big number for x?

Answer 2

the value of the function is smaller

Answer 3

Correct! very very large negative number

Answer 4

bigger and bigger x's give you bigger and bigger negative numbers

Answer 5

what about this case?

Answer 6

so towards the right... it goes off to negative infinity

Answer 7

using the same technique... what do you think happens towards the left?

Answer 8

goes of twoards positive infinity

Answer 9

correct!