Complete the sentence in a way that shows you understand the meaning of the italicized vocabulary word. The Army and the Air Force must collaborate during...

Use constant differences or ratio to determine which parent function would best model the data set.

$$\begin{matrix} x & \text{0.10} & \text{0.37} & \text{0.82} & \text{1.45} & \text{2.26}\\ y & \text{0.3} & \text{0.6} & \text{0.9} & \text{1.2} & \text{1.5}\\ \end{matrix}$$

Add or subtract.

$$\sqrt{27}-2 \sqrt{3}$$

A verbal description of a function f is given. Find a formula that expresses f in function notation.

“Divide by 2, then add 9.”

Sasha wonders how many distinct ways there are to arrange the letters in her name. She thinks the answer is $\frac{5 !}{4 !}=5$. Is she correct? Why or why not? Explain completely.

What is the value of the discriminant of the quadratic equation $−1 = 5x^2 −2x$ and what does its value mean about the number of real number solutions the equation has?

Determine the exact solution to the equation. $3^2=x$

Solve $2x^2+5x+5=0$. Round solutions to the nearest hundredth.

Suppose that $n=p_{1} p_{2} \cdots p_{k}$ where $p_{1}, p_{2}, \dots, p_{k}$ are distinct odd primes. Show that $a^{\phi(n)+1} \equiv a(\bmod n).$

Add or subtract.

$$\sqrt{81 x^3}-\sqrt{4 x}$$

Evaluate the discriminant for each equation. Then use it to predict the number of distinct solutions, and whether they are rational, irrational, or nonreal complex. Do not solve the equation. See the example in this section.

$$9 x^2+11 x+4=0$$

Let f have a derivative on an interval I. Prove that between successive distinct zeros of $f^{\prime}$ there can be at most one zero of f. Hint: Try a proof by contradiction and use Rolle's Theorem.

Fill in the blank. When we say that the absolute value equation and a compound equation are equivalent, we mean that they have the same _____.

Find the mean for the following.

$$\begin{array}{|cc|} \hline \text { Value } & \text { Frequency } \\ \hline 9 & 3 \\ \hline 12 & 5 \\ \hline 15 & 1 \\ \hline 18 & 1 \\ \hline \end{array}$$