True or False? In Exercises $73-78$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. If $p(x)$ is a polynomial function, then $p$ has exactly one antiderivative whose graph contains the origin.

Answer

True, explanation inside.

True or False? In Exercises $73-78$ , 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.
True or False? In Exercises $73-78$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If $F(x)$ and $G(x)$ are antiderivatives of $f(x),$ then
$$F(x)=G(x)+C$$
True or False? In Exercises $73-76$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If $$\lim _{x \rightarrow c} f(x)=L,$ then $f(c)=L$$
True or False? In Exercises $75-78$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.
If $b^{2}-4 a c=0$ and $a \neq 0,$ then the graph of
$$y=a x^{2}+b x+c$$
has only one $x$ -intercept.

## Discussion

## Video Transcript

No transcript available

## Recommended Questions

True or False? In Exercises $73-78$ , 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.

True or False? In Exercises $73-78$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If $F(x)$ and $G(x)$ are antiderivatives of $f(x),$ then

$$F(x)=G(x)+C$$

True or False? In Exercises $73-76$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If $$\lim _{x \rightarrow c} f(x)=L,$ then $f(c)=L$$

True or False? In Exercises $75-78$ , determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.

If $b^{2}-4 a c=0$ and $a \neq 0,$ then the graph of

$$y=a x^{2}+b x+c$$

has only one $x$ -intercept.