1) Find the difference quotient and simplify your answer.

f(x) =x^2/3+6,f(x)?f(8)/x?8

,x?8

2) Find all real values ofxfor whichf(x) = 0.

(Enter your answers as a comma-separated list.)

f(x) =x²?5x?14

3) Find the domain of the function.

f(x) =x+5/?x-7

all real numbersxsuch thatx

all real numbersxexceptx= 7

all real numbersxexceptx=?5 andx= 7

all real numbersxsuch thatx> 7

all real numbersxsuch thatx?7

4) Find the difference quotient and simplify your answer.

f(x) =3x?x²,f(3+h)?f(3)/h,h?0

5) The percentpof prescriptions filled with generic drugs at a large pharmacy chain from 2008 through 2014 (see figure) can be approximated by the model

p(t) =2.76t+45.2,8?t?11

1.96t+55.9,12?t?14

wheretrepresents the year, witht= 8

corresponding to 2008. Use this model to find the percent of prescriptions filled with generic drugs in each year from 2008 through 2014.

An open box of maximum volume is made from a square piece of material 24 centimeters on a side by cutting equal squares from the corners and turning up the sides (see figure). - 2x. x 1-24 - 2x X (a) The table shows the volumes V (in cubic centimeters) of the box for various heights x (in centimeters). Use the table to estimate the maximum volume Height, x 1 2 3 4 5 6 Volume, V 484 800 972 1024 980 864 cubic centimeters (b) Plot the points (x, V) from the table in part (a). Does the relation defined by the ordered pairs represent V as a function of x? Yes O No (c) Given that V is a function of x, write the function. (If V is not a function of x, enter NONE.) V = Determine the domain of the function. O all real numbers except x = 12 all real numbers all real numbers except x = 0 O0 2008)