91Ó°ÊÓ

In Problems 7– 42, find each limit algebraically

$\underset{x→-1}{\lim }\left(3x^2-5x\right)$

a function f is defined over an interval $\left[a,b\right]$

(a) Graph f, indicating the area A under f from a to b.

(b) Approximate the area A by partitioning $\left[a,b\right]$

into four subintervals of equal length and choosing u as the left

endpoint of each subinterval.

(c) Approximate the area A by partitioning $\left[a,b\right]$

into eight

subintervals of equal length and choosing u as the left

endpoint of each subinterval.

(d) Express the area A as an integral.

(e) Use a graphing utility to approximate the integral.

localid="1647079335733" role="math" $f\left(x\right)=\frac{1}{x}\left[1,5\right]$

In Problem, use the accompanying graph of $y=f\left(x\right)$

What is the range of f?

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

Find$f(-8)andf(-4).$

In Problem, use the accompanying graph of$y=f\left(x\right)$

Find the x-intercept(s), if any, of f.

In Problems 17–22, use the graph shown to determine if the limit exists. If it does, find its value.

$18.\underset{x→4}{\lim }f\left(x\right)$

In Problems 9–20, find the slope of the tangent line to the graph of f at the given point. Graphf and the tangent line.

$f\left(x\right)=-2x^2+x-3$at$(1,-4)$

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

Find$f\left(2\right)andf\left(6\right).$

In Problems 7– 42, find each limit algebraically

$\underset{x→2}{\lim }\left(8x^2-4\right)$

a function f is defined over an interval $\left[a,b\right]$

(a) Graph f, indicating the area A under f from a to b.

(b) Approximate the area A by partitioning $\left[a,b\right]$

into four subintervals of equal length and choosing u as the left

endpoint of each subinterval.

(c) Approximate the area A by partitioning$\left[a,b\right]$

into eight

subintervals of equal length and choosing u as the left

endpoint of each subinterval.

(d) Express the area A as an integral.

(e) Use a graphing utility to approximate the integral.

localid="1647079709839" $f\left(x\right)=\sqrt{x}\left[0,4\right]$