A function and its graph are given. In each problem, find the domain.

$$f(x)=4+\sqrt{49-x^2}$$

Use the left-to-right elimination method to solve the systems.

$$\left\{\begin{array}{r}x-3 y-z=0 \\ x-2 y+z=8 \\ 2 x-6 y+z=6\end{array}\right.$$

Write the equation of each line described.

Slope $-\frac{1}{2}$ and $y$-intercept $3$

Write the equation of the line that passes through the given point and has the given slope. Then graph the line.

$(3,-1)$ with slope $1$

Solve each inequality.

$$3(x-1)<2 x-1$$

Use the left-to-right elimination method to solve the systems.

$$\left\{\begin{array}{l}x+4 y-2 z=9 \\ x+5 y+2 z=-2 \\ x+4 y-28 z=22\end{array} \quad\right.$$

A function and its graph are given. In each problem, find the domain.

$$f(x)=\frac{x\ +\ 1}{\sqrt{x\ +\ 3}}$$

Graph each function using a window that gives a complete graph.

$$y=\frac{9 x^3}{4 x^4\ +\ 9}$$

Graph each function using a window that gives a complete graph.

$$y=\frac{12 x^2\ -\ 12}{x^2\ +\ 1}$$

Use the left-to-right elimination method to solve the systems.

$$\left\{\begin{aligned} x+3 y-8 z &=20 \\ y-3 z &=11 \\ 2 y+7 z &=-4 \end{aligned}\right.$$

Solve $\frac{y\ -\ b}{x\ -\ a}=m$ for $y$.

Write the equation of the line that passes through the given point and has the given slope. Then graph the line.

$(-1,4)$ with slope $-\frac{3}{4}$

Write the equation of each line described.

Slope $4$ and $y$-intercept $2$

Use TRACE or TABLE to evaluate the function.

If $f(x)=\frac{x^2\ -\ 2 x}{x\ -\ 1}$, find $f(3)$ and $f(-4)$.