The graph shows the annual attendance at two events. Each event began in 2004. a. Estimate when the events will have about the same attendance.

The events will have about the same attendance in the year ___.

b. Explain how you can verify your answer in part (a).
a. Substitute the answer in part (a) into both equations for y and solve for x.
b. Set the equations equal to zero, solve for x, then find the average of the two x-values.
c. Graph the two equations on a graphing calculator and use the intersect feature to find the point of intersection.
d. See how many times you have to multiply 4000 by 1.25 to obtain a product of approximately 12,000.
.

The graph shows the annual attendance at two events. Each event began in 2004.

a. Estimate when the events will have about the same attendance.

The events will have about the same attendance in the year ___.

b. Explain how you can verify your answer in part (a).

a. Substitute the answer in part (a) into both equations for y and solve for x.

b. Set the equations equal to zero, solve for x, then find the average of the two x-values.

c. Graph the two equations on a graphing calculator and use the intersect feature to find the point of intersection.

Step-by-step explanation:

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: