Explain how the graph of each function can be obtained from the graph of $y=\frac{1}{x}$ or $y=\frac{1}{x^{2}}$. Then graph f and give the increasing. $f(x)=-\frac{3}{x}$

Explain how the graph of $f$ can be obtained from the graph of $y=\frac{1}{x}$ or $y=\frac{1}{x^2}$. Draw a sketch of the graph of $f$ by hand. Then generate an accurate depiction of the graph with a graphing calculator. Finally, give the domain and range. $f(x)=-\frac{3}{x}$

Find the vertical and horizontal asymptotes for the graph of the given rational function. Find $x$ - and $y$-intercepts of the graph. Sketch the graph of $f$.

$$f(x)=\frac{-2 x^2+8}{(x-1)^2}$$

(a) use a graphing utility to graph the equation, (b) use the graph to approximate any x-intercepts of the graph, (c) set y = 0 and solve the resulting equation, and (d) compare the result of part (c) with the x-intercepts of the graph. $y=x^{4}-29 x^{2}+100$

(a) use a graphing utility to graph the equation, (b) use the graph to approximate any x-intercepts of the graph, (c) set y = 0 and solve the resulting equation, and (d) compare the result of part (c) with the x-intercepts of the graph. $y=x^{3}-2 x^{2}-3 x$

For the following exercises, use a calculator to graph the function. Then, using the graph, give three points on the graph of the inverse with y-coordinates given. $f(x)=x^{4}+5 x+1, y=-1,0,1$

For the following exercises, use a calculator to graph the function. Then, using the graph, give three points on the graph of the inverse with y-coordinates given. $f(x)=x^{3}+8 x-4, y=-1,0,1$

Begin with the graph of $f ( x ) = \log _ { 2 } x$ and use transformations to sketch the graph of each function. Find the domain and range of the function and the vertical asymptote of the graph. $y = \log _ { 2 } x$

For the following exercise, use a calculator to graph the function. Then, using the graph, give three points on the graph of the inverse with $y$-coordinates given.\

$$f(x)=x^4+5 x+1, y=-1,0,1$$

Sketch a graph of each of the following functions. Label at least three points on each graph. Name the inverse function of each and show its graph. $y=e^{x}$

Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f.

(a) $y=2 f(x+2)-2$ $\quad$ (b) $y=2 f(x-2)+2$

Explain how the graph of each function can be obtained from the graph of $y=\frac{1}{x}$ or $y=\frac{1}{x^{2}}$. Then graph f and give the range. $f(x)=\frac{2}{x}$

Explain how the graph of each function can be obtained from the graph of $y=\frac{1}{x}$ or $y=\frac{1}{x^{2}}$ Then graph/ and give the range. $f(x)=-\frac{3}{x}$

Compare the graph of each function with the graph of $f(x)=2^{x}$. What effect does h have on the graph of each? a. $g(x)=2^{x+2}$ b. $j(x)=2^{x-2}$