Graph the circles whose equations are given. Label each circle's center and intercepts (if any) with their coordinate pairs.

$$x^2+y^2-4 x-(9 / 4)=0$$

Solve the equations or inequalities.

$$|x+1|=7$$

Find an appropriate graphing software viewing window for the given function and use it to display its graph. The window should give a picture of the overall behavior of the function. There is more than one choice, but incorrect choices can miss important aspects of the function. $f(x)=x^{4}-4 x^{3}+15$

Find the domain and range of each function.

$$g(z)=\sqrt{4-z^2}$$

If f(x) is odd, can anything be said of $g(x)=f(x)-2 ?$ What if f is even instead? Give reasons for your answer.

Solve the inequalities and show the solution sets on the real line.

$$-2 x>4$$

Copy and complete the following table of function values. If the function is undefined at a given angle, enter “UND.” Do not use a calculator or tables.

$$\begin{array}{l} \hline \text{$\theta$} & \text{$-\pi$} & \text{$-2 \pi / 3$} & \text{0} & \text{$\pi / 2$} & \text{$3 \pi / 4$}\\ \hline \text{$\sin \theta$} & \text{ } & \text{ } & \text{ } & \text{ } & \text{ }\\ \text{$\cos \theta$} & \text{ } & \text{ } & \text{ } & \text{ } & \text{ }\\ \text{$\tan \theta$} & \text{ } & \text{ } & \text{ } & \text{ } & \text{ }\\ \text{$\cot \theta$} & \text{ } & \text{ } & \text{ } & \text{ } & \text{ }\\ \text{$\sec \theta$} & \text{ } & \text{ } & \text{ } & \text{ } & \text{ }\\ \text{$\csc \theta$} & \text{ } & \text{ } & \text{ } & \text{ } & \text{ }\\ \hline \end{array}$$

Describe the graphs of the equations.

$$x^2+y^2=1$$

Use a graphing calculator or computer to determine if the given viewing windows display is the appropriate graph of the specified function.

$$f(x)=\sqrt{5+4 x-x^2}$$

• [-10, 10] by [-10, 10]

Use a graphing calculator or computer to determine if the given viewing windows display is the appropriate graph of the specified function.

$$f(x)=\sqrt{5+4 x-x^2}$$

• [-3, 7] by [0, 10]

Use a graphing calculator or computer to determine if the given viewing windows display is the appropriate graph of the specified function.

$$f(x)=\sqrt{5+4 x-x^2}$$

• [-2, 6] by [-1, 4]

Use graphing software to determine which of the given viewing windows displays the most appropriate graph of the specified function. $f(x)=\sqrt{5+4 x-x^{2}}$ a. [-2, 2] by [-2, 2] b. [-2, 6] by [-1, 4] c. [-3, 7] by [0, 10] d. [-10, 10] by [-10, 10]

The given figure shows the graph of a function f(x) with domain [0, 2] and range [0, 1]. Find the domain and ranges of the following function, and sketch its graph.

-f(x + 1) + 1

The given figure shows the graph of a function f(x) with domain [0, 2] and range [0, 1]. Find the domain and ranges of the following function, and sketch its graph.

f(-x)