Find the following for each function: (a) f(0) (b) f(1) (c) f(-1) (d) f(-x) (e) -f(x) (f) f(x + 1) (g) f(2x) (h) f(x + h) $f(x)=\frac{2 x+1}{3 x-5}$

Multiply. $m^{2}(2 m-5)(3 m+8)$ _____.

Solve any pair of the system equation $2x-y=4,\text{ } 3x+y=1, \text{ and } x-2y=5$. Show that the solution is valid for any pair chosen. What conclusions can be drawn about the graphs of the three equations.

True or False. Every relation is a function.

A farmer’s fruit storage cellar is unheated. To prevent the fruit from freezing, the farmer places a barrel of water in the cellar. Explain why this helps prevent the fruit from freezing.

Solve and check. $7 = m \div 21$

Solve each equation for $y$ and then determine whether the equation defines $y$ as a function of $x$:

$$\textbf{a.} \ 2x + y = 6 \qquad \textbf{b.}\ x^2 + y^2 = 1.$$

The weight of a radioactive isotope remaining after t weeks is given by $W_{t}=8000 \times e^{-\frac{t}{20}}$ grams. Find the time for the weight to: reach 0.1% of its original value.

Determine whether the equation defines y as a function of x. 2x + |y| = 0

Explain the differences between each set of vocabulary words given below. Then explain how the words are related. pH—buffer

A solution of $\mathrm{KClO}_{3}$ is prepared using 75 grams of the solute in enough water to make 0.250 liters of solution. The gram-formula mass of $\mathrm{KClO}_{3}$ is 122 grams per mole. Assuming the solution is saturated, determine the temperature of the solution.

State the domain and range for each relation. Then determine whether each relation represents a function.

State the domain and range of each relation. Then determine whether the relation is a function. Write yes or no.

State the domain and range for each relation. Then determine whether each relation represents a function