Determine the domain and range of the relations shown.

Determine whether each given relation is a function.

Determine whether each given relation is a function.

Is $f(x)=4x-1$ and $g(x)=x^2+2$, then find $f(x)$ and $g(x)$ when $x=5$, $-2$, $0$, $z$, $a$, and $a+3$.

$f=\{(-2,0), (3,-1), (2,4), (7,5)\}$ find $f(-2)$, $f(3)$, $f(2)$, and $f(7)$

Find the slope through $(1, 2)$ and $(3, 5)$

Find the slope through $(-2,1)$ and $(5, -4)$

Find the slope of the line containing $(3,-1)$ and $(3,4)$.

Graph the line with slope $\dfrac{3}{2}$ and $y$-intercept $1$.

Find the slope and $y$-intercept for $-2x+y=-4$. Then draw the graph.

Find the slope and $y$-intercept for $3x-2y=6$.

Find the values of the exponential functions $f$ and $g$, where $f(x)=2^x$ and $g(x)=3^x$, and $x\in \{0,1,2,3,-2,-3\}$.

A patient is administered a $1200$-microgram dose of iodine-$131$. How much iodine-$131$ will be in the patient’s system after $10$ days, after $16$ days?

Sketch the graph of the exponential equation $y=2^x$

Sketch the graph of $y=\left( \displaystyle\frac{1}{3} \right) ^x$

You deposit $\$500$ in an account that earns $8\%$ compounded quarterly. Find an equation that gives the amount of money in the account after $t$ years, the amount in the account after $5$ years, and when it will contain $\$1\text{,}000$.

Simplify.

1. $3x+4x$

2. $7a-10a$

3. $18y-10y+6y$

Simplify.

1. $3x+5+2x-3$

2. $4a-7-2a+4$

3. $5x+8-x+6$

Simplify $5(2x-8)-3$

Simplify $7-3(2y+1)$

Simplify $5(x-2)-(3x+4)$

Find the value of the expression $2x-3y+4$ when $x$ is $-5$ and $y$ is $6$.

Find the value of the expression $x^2-2xy+y^2$ when $x$ is $3$ and $y$ is $-4$.

Solve: $3(x+2)=-9$

Solve: $4a+5=2a-7$

Solve: $2(x-4)+5=-11$

Solve: $5(2x-4)+3=4x-5$

Solve: $\displaystyle\frac{x}{2}+\displaystyle\frac{x}{6}=8$

Solve: $2x+\displaystyle\frac{1}{2}=\displaystyle\frac{3}{4}$

Solve: $\displaystyle\frac{3}{x}+2=\displaystyle\frac{1}{2}$

Mini Lecture
Solve.

1. $6(x-3)=-6$

2. $7y-3=4y-15$

3. $2(3x-6)+1=7$

4. $9x-6=-3(x+2)-24$

5. $\dfrac{x}{5}-x=4$

6. $\dfrac{1}{x}-\dfrac{1}{2}=-\dfrac{1}{4}$

Find the area and perimeter of a square with a side $6$ inches long.

The perimieter $P$ of a rectangular livestock pen is $40$ feet. If the width $w$ is $6$ feet, find the length.

Use the formula $C=\dfrac{5(F-32)}{9}$ to find $C$ when $F$ is $95$ degrees.

Use the formula $y=2x+6$ to find $y$ when $x$ is $-2$

Find $y$ when $x$ is $3$ in the formula $2x+3y=4$

At $1$ P.M. Jordan leaves her house and drives an average speed of $50$ miles per hour to her sister’s house. She arrives at $4$ P.M.

1. How many hours was the drive to her sister’s house?

2. How many miles from her sister does Jordan live?

Find the complement and supplement of $25^\circ$