In this exercise, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

Each antiderivative of an $n$ th-degree polynomial function is an $(n+1)$ th-degree polynomial function.

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

You can always divide by $e^x$.

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. The given statement is "You can always divide by $e^x$."

Classify each statement as true or false. If false, explain why. The sum of two negative integers is always a negative integer.

True or False? Identify whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

Every $n$th-degree polynomial has $(n-1)$ critical numbers.

Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If $f(x)$ is an $n$th-degree polynomial, then $f^{(n+1)}(x)=0$.

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. You can always divide by e^x

Determine whether the following statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

You can always divide by $e^x$.

True or False? In Exercises, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

An $n$ th-degree polynomial has at most $(n-1)$ critical numbers.

True or False? Identify whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

An $n$th-degree polynomial has at most $(n-1)$ critical numbers.

Classify each statement as true or false. If false, explain why. The difference of two integers can never be 0.

True or False? In Exercises, determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If $f(x)$ is an $n$ th-degree polynomial, then $f^{(n+1)}(x)=0$.

Classify the following statement as true or false. If false, explain why and provide a correct statement.

$$2 \subseteq\{2,3,4,5,6\}$$

True or False? Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

Each antiderivative of an $n$th-degree polynomial function is an $(n+1)$th-degree polynomial function.