13) Jade and her roommate Jari commute to work each morning, traveling west on I-10. One morning Jade left for work at 6:50 A.M., but Jari left 10 minutes later. Both drove at a constant speed. The following graphs show the distance (in miles) each of them has traveled on I-10 at time t (in minutes), where

t = 0 is 7:00 A.M.

2) Suppose the graph of f is given. Describe how the graph of each function can be obtained from the graph of f.

a) f(x) 9

shift left 9 units

shift right 9 units

shift up 9 units

shift down 9 units

stretch vertically by a factor of 9 (b) f(x 4) shift left 4 units

shift right 4 units

shift up 4 units

shift down 4 units

stretch vertically by a factor of 4

3)Sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and applying transformations.

f(x) = square root x+7

10) Westside Energy charges its electric customers a base rate of$3.00per month,plus14per kilowatt-hour (kWh)for the first300 kWhused and2per kWhfor all usage over300 kWh.Suppose a customer usesxkWhof electricity in one month.

(a) Express the monthly costEas a piecewise defined function ofx. (AssumeEis measured in dollars.)

E(x) =

	if 0x300
	if 300 <x

(b) Graph the functionEfor

0x600.

16) The manager of a furniture factory finds that it costs $2200 to produce 100 chairs in one day and $4800 to produce 300 chairs in one day.(a) Assuming that the relationship between cost and the number of chairs produced is linear, find a linear function C that models the cost of producing x chairs in one day.

C(x) =

(b) Draw a graph of C.

What is the slope of this line? (c) At what rate does the factory's cost increase for every additional chair produced? $ per chair

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

f(x) = x + 3, 3 x 3

x	f(x) = x + 3
3
2
0
1
2
3

25) Sketch the graph of the function by first making a table of values. (If an answer is undefined, enter UNDEFINED.)f(x) = x + 2

x	f(x) = x + 2
6
4
2
0
2
4
6

26) 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

Sketch the graph.

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

f(x) =

4	ifx3
3x2	ifx>3

f(4)	=
f(0)	=
f(3)	=
f(4)	=
f(6)	=

30) If a function f is an even function, then what type of symmetry does the graph of f have? The function f has symmetry with respect to the origin.

The function f has symmetry with respect to the y-axis.

The function f has symmetry with respect to the x-axis.

31) Sketch the graph of the function, not by plotting points, but by starting with the graph of a standard function and applying transformations.

f(x) = x³

33) A functionfis given, and the indicated transformation is applied to its graph. Write the equation for the final transformed graph.

f(x) = square root of x; shift9units to the left

y=

35) Determine whether the function f is even, odd, or neither.

f(x) = x⁶ + x

even

odd

neither Sketch the graph of f. If f is even or odd, use symmetry to sketch its graph.

36) Determine whether the equation defines y as a function of x. (See Example 9.)

3|x| + y = 0

is a function

is not a function

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

g(x) = 5 2x

What is the slope of the graph?

41) If a functionfis an odd function, then what type of symmetry does the graph offhave? The functionfhas symmetry with respect to they-axis.

The functionfhas symmetry with respect to the origin.

The functionfhas symmetry with respect to thex-axis.

6) Find the domain of the function. (Enter your answer using interval notation.)

f (t)= square root

t+4