Use long division to divide.

$$(x^3+4x^2-3x-12)\div(x-3)$$

Sketch the graph of $y=x^n$ and each transformation.

$$y=x^5$$

$\quad$ (c) $f(x)=1-\frac{1}{2}x^5$

Sketch the graph of $y=x^n$ and each transformation.

$y=x^5$ $\quad$ (b) $f(x)=x^5+1$

Find the domain of the function and identify any vertical and horizontal asymptotes.

$$f(x)=\frac{3x^2+1}{x^2+x+9}$$

Graph each function. Compare the graph of each function with the graph of $y=x^2$.

(d) $k(x)=\left(x+3\right)^2$

Sketch the graph of $y=x^n$ and each transformation.

$y=x^5$ $\quad$ (a) $f(x)=(x+1)^5$

A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has $100$ meters of fence, and no fencing is needed along the river.

(c ) Find the exact dimensions that yield the maximum area for the pasture by writing the quadratic function in standard form.

Graph each function. Compare the graph of each function with the graph of $y=x^2$.

(c ) $h(x)=\left(\frac{1}{3}x\right)^2-3$

Graph each function. Compare the graph of each function with the graph of $y=x^2$.

(b) $g(x)=(3x)^2+1$

A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has $100$ meters of fence, and no fencing is needed along the river.

(b) Graph the function $A$ and estimate the dimensions that yield the maximum area for the pasture.

Graph each function. Compare the graph of each function with the graph of $y=x^2$.

(a) $f(x)=(x-1)^2$

A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has $100$ meters of fence, and no fencing is needed along the river.

(a) Write the area $A$ as a function of $x$ the length of the side of the pasture parallel to the river. What is the feasible domain of $A$?

Write the complex number in standard form.

$$-10i+i^2$$

Identify any intercepts and asymptotes of the graph of the function. Then sketch a graph of the function.

$$f(x)=\frac{2x^2-5x-12}{x^2-16}$$