91Ó°ÊÓ

In Problems 21–32, find the derivative of each function at the given number.

$f\left(x\right)=x^3+x^2-2x$at$1$.

In Problems 13–32, use the accompanying graph of y = f(x).

Is f continuous at 0?

The limit of a functionf(x) as x approaches c is denoted by the symbol ___.

True or False The exponential function $f\left(x\right)=e^x$ is increasing on the interval $(-∞,∞)$. (p. 280)

If $\underset{x→c}{\lim }\frac{f\left(x\right)-f\left(c\right)}{x-c}$exists, it equals the slope of the ______ _____ to the graph of f at the point $\left(c,f\left(c\right)\right).$

In Problems 1– 6, find each limit

$\underset{x→-6}{\lim }\sqrt{7-3x}$

$\underset{x→c}{\lim }x=\_\_\_$

The integral from a to b of $f\left(x\right)$ is denoted by the symbol ______

find the limit$\underset{x→3}{\lim }\sqrt{x^2+7}$

In Problems 21–32, find the derivative of each function at the given number.

$f\left(x\right)=x^3-2x^2+x$at$-1$