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

$$7 x=-4 y-8$$

Choose the grammatically correct use of an absolute phrase from the following sentences.

a)The love of my life walked out of the door, a cappuccino in her hand.

b) The love of my life walked out of the door a cappuccino in her hand.

c) The love of my life walked out of the door, and a cappuccino in her hand.

d) The love of my life walked out of the door; a cappuccino in her hand.

Define the term technology. Identify three ways that technology makes your life easier, safer, or more enjoyable.

There is one function with domain $\mathbb{R}$ that is both even and odd. Find that function.

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

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

An object is projected vertically upward with an initial velocity of $v_0\ \mathrm{ft} / \mathrm{sec}$, and its distance $s(t)$ in feet above the ground after $t$ seconds is given by the formula $s(t)=-16 t^2+v_0 t$.

(a) If the object hits the ground after $12$ seconds, find its initial velocity $v_0 .$

(b) Find its maximum distance above the ground.

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 $f$.

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

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

Center $C(-4,6)$, passing through $P(3,1)$

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

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

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.