1) Sketch the graph of the function by first making a table of values.

f(x) = ?x²

x	f(x) = ?x2
0
4
3
2
1

5) Consider the following functions.

f(x) = x ? 8, g(x) = |x + 8|

a. Find

(f ? g)(x).

b. Find the domain of

(f ? g)(x).(Enter your answer using interval notation.)c.

d.Find(g ? f)(x).

e.Find the domain of

(g ? f)(x).(Enter your answer using interval notation.)

f.Find(f ? f)(x).g.

h.Find the domain of(f ? f)(x).(Enter your answer using interval notation.)

i.Find(g ? g)(x).

j. Find the domain of(g ? g)(x).(Enter your answer using interval notation.)

7) A function f is given. f(x) = 9 ? 3x, 1 x

(a) Sketch a graph of f.

(b) Use the graph to find the domain and range of f. (Enter your answers using interval notation.)c.

domin?

range?

9) The graph shows the depth of water W in a reservoir over a one-year period as a function of the number of days x since the beginning of the year. What was the average rate of change of W between

x = 0 and x = 150?(Assume that the points lie on the grid lines.) ? ft/day

12) Use f(x) = 7x ? 8

and g(x) = 5 ? x² to evaluate the expression.

(a) f(g(0))

(b) g(f(0))

14) A function is given. f(x) = 4x ? 7; x = 2, x = 3

(a) Determine the net change between the given values of the variable.

(b) Determine the average rate of change between the given values of the variable.

2) For the given linear function, make a table of values and sketch its graph.

g(x) = 2 ? 8x

What is the slope ?

3) Evaluate the piecewise defined function at the indicated values.

f(x) =

6	ifx?5
5x?3	ifx>5

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