Functions

Graph Terms

100

What is the median from this data set?

12. 6     12. 5    10.6    10.5     9    8    7

10.5

200

What is the mean of the following:

10, 10, 8.5, 8, 7

The mean is

8.7

300

What is the dependant axis on a graph?

The data set that relies or depends upon something to exist.

For example, growth pattern is dependant.  

It would depend upon other factors.

400

Is time independent or dependant?

Independant

500

What is a scatterplot?

Your data set.  The first set are the independent set. (L1) The second column is the dependant set or (L2)

True or False

100

The sinusoidal functions are in the 10th degree?

False

200

Linear equations are in the first degree?

True

300

The d variable in a sinusoidal function equation represents distance.

False.

400

The periodic amount is found using this equation:  2pi/b

True

500

The form y=mx + b is a 2nd degree quadratic function?

False

Functions

100

A garden was treated to control pests.  Every hour after treatment, there were half as many pests as there were the previous hour.  After six hours, 65 pests remained.  65 = N(0.5)⁶

                                     N= 4160

What function is the abovementioned an example of?

Exponential Function

200

The following cubic regression equation:

y = ax³ + bx² + cx + d

Takes what shape when graphed?

Dble curved arrow

300

Name at least 3 function equations.

linear function equation

quadratic function equation

sinusoidal function equation

logarithmic function equation

exponential function

400

What equational form does the logarithmic function take?

y = xlogx

500

When graphing a logarithmic function equation, what does it look like on the graph?

A line that is close to the 0 axis (whether x or y) and curves to an arrow which levels off

Sinusoidal

100

Sinusoidal function equation is....

y = asin(bx - c) + d

200

What does the a stand for?

amplitude

300

What does the d stand for?

d = midline or median of data set

400

What does the (bx - c) stand for?

The period and cycle

500

The illuminated area of a moon varies sinusoidally with time.  A lunar cycle begins and ends with a new moon, which is 0% illuminated.  Midway through the cycle (15 days later), a full moon, which is 100% illuminated occurs.  Devise a scatterplot of the percentage of lunar illumination throughout the 29 days.

1         0%

8         50%

15       100%

21        50%

29        100% 

Relations

100

If a lunar period is 29 days, how would you notate this in your sinusoidal equation?

y = sin(2pi/29 - c) + d

200

If you were tracking the percentage of illumination throughout a 29 day lunar cycle, how would you devise your equation.

 y = 50 sin(2pi/29 (x - 8)) + 50

300

Provide an example of using a function to graphically chart and solve?

...

400

Provide an example of using your graphing calculator and using the sinusoidal functions...

....

500

Calculate the approximate period for a data set that has the period at:

period = 2pi/0.0174

period =...........what?

361 or 1 year.