Graph each function. Identify the domain and range. $f(x)=2|x-4|+6$

Graph each linear function. Give the domain and range. G(x)=2x

Use a depth-first search in the previous example to show that any amount between 0 and 10 quarts can be obtained in one of the pitchers.

Use a graphing calculator to graph the equation corresponding to the inequality. From the display of the graphing calculator, locate one ordered pair in the solution set to the system and check that it satisfies all inequalities of the system. Answers may vary.

$$\begin{aligned} &y<-0.5 x^2+150 x-11,226.6 \\ &y>-0.11 x+38 \end{aligned}$$

Calculate $f^{-1}$(x) and state the domain and range of $f^{-1}$. $f(x)=\sqrt{x-2}$, a=2

Employment data at a large company reveal that 72% of the workers are married, that 44% are college graduates, and that half of the college grads are married. What's the probability that a randomly chosen worker

is married but not a college graduate?

Employment data at a large company reveal that 72% of the workers are married, that 44% are college graduates, and that half of the college grads are married. What's the probability that a randomly chosen worker

is married or a college graduate?

Use the given function f to: Find the domain and the range of $f ^{-1}$. $f(x) = ln(x - 3)$

Explain why the given groups are not isomorphic. $U_{10} \text{ and } U_{12}$

Use the given function f to: Find the domain and the range of $f ^{-1}$. $f (x) = 2 + ln x$

A substance has a half-life of $2.045$ minutes. If the initial amount of the substance was $132.8$ grams, how many half-lives will have passed before the substance decays to $8.3$ grams? What is the total time of decay?

A bowling ball has a mass of $6 \mathrm{~kg}$ and a speed of $1.5 \mathrm{~m} / \mathrm{s}$. A baseball has a mass of $0.12 \mathrm{~kg}$ and a speed of $40 \mathrm{~m} / \mathrm{s}$. Which ball has the larger momentum?

Determine the domain and range of these functions.

$y=3-\sqrt{2 x+1}$

Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solutions or infinitely many solutions.

$3 x=-18+2 y$

$$x+3 y=4$$