Question

What are the increasing, and decreasing intervals of the function y=x^3+3?

Answer 1

You know that a function is increasing when \(x\) increases, then \(y\) increases as well.

Answer 2

yeah

Answer 3

So notice that when \(x\) is negative, we have \(y\) decreasing when \(x\) is.

Answer 4

mmmmhmmmm

Answer 5

when \(x\) is increasing*

Answer 6

So how do you denote the set of negative numbers?

Answer 7

what do u mean?

Answer 8

Do you agree that when \(x\) is negative, then the function is decreasing?

Answer 9

yeah, because the bigger a negative number, the smaller the number actually is

Answer 10

Well, you're getting the point.

Answer 11

Do you know what an interval is?

Answer 12

A set of real numbers with the property that any number that lies between two numbers in the set is also included in the set.