Sketch the graph of $f$.

$$f(x)=\sqrt{4-x}$$

Find an equation of the circle that satisfies the stated conditions.

Center $C(4,-1)$, tangent to the $x$-axis

Explain how the graph of $y=-f(x-2)$ compares to the graph of $y=f(x)$.

Find the intervals on which $f$ is increasing, is decreasing, or is constant.

$$f(x)=\sqrt{x+4}$$

Find the domain $D$ and range $R$ of $f$.

$$f(x)=\sqrt{x+4}$$

Height of a projectile. An object is projected vertically upward from the top of a building with an initial velocity of $144 \mathrm{ft} / \mathrm{sec}$. Its distance $s(t)$ in feet above the ground after $t$ seconds is given by the equation

$$s(t)=-16 t^2+144 t+100 .$$

Find the height of the building.

Sketch the graph of $f$.

$$f(x)=\sqrt{x+4}$$

Height of a projectile. An object is projected vertically upward from the top of a building with an initial velocity of $144 \mathrm{ft} / \mathrm{sec}$. Its distance $s(t)$ in feet above the ground after $t$ seconds is given by the equation

$$s(t)=-16 t^2+144 t+100 .$$

Find its maximum distance above the ground.

Find an equation of the circle that satisfies the stated conditions.

Center $C(-3,6)$, tangent to the $y$-axis

If $f$ is an odd function and $g$ is an even function, is $f g$ even, odd, or neither even nor odd?

Use the slope-intercept form to find the slope and $\boldsymbol{y}$-intercept of the given line, and sketch its graph.

$$2 x=15-3 y$$

Find the intervals on which $f$ is increasing, is decreasing, or is constant.

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

Find the domain $D$ and range $R$ of $f$.

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

Sketch the graph of $f$.

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