Relations & Functions
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FINAL JEOPARDY
CATEGORY: TBD
100

What does it mean for a relation to be a function?

The relation has no repeating x-values

100

What is another word for "average rate of change"?

SLOPE

100

What does "r" stand for in statistics (two words)

Correlation Coefficient 

100

What is the degree of the polynomial below?

4x^2-9-x^3+7


Third degree or cubic

100

What does "DOTS" stand for?

Difference of Two Squares

100

A "non-terminating, non-repeating decimal" is the definition of a...

Irrational Number

100

A question from The National Mathematics Contest in 1991...

Three days ago, yesterday was the day before Sunday. What day will it be tomorrow?

Three days ago, yesterday was the day before Sunday, so three days ago was itself Sunday.
That means today is Wednesday, so tomorrow is Thursday

200

What does "VLT" stand for AND how does one use the VLT?

The "Vertical Line Test" is used to see if a graph is a function. You draw vertical lines and see how many times each vertical line touches the graph. If it touches the graph more than once, the graph is not a function!

200

What is the formula to find "m" in the below equation?

y=mx+b


m=(y_2-y_1)/(x_2-x_1)

200

What is the difference between the "mean" and the "median" of data?

Mean = average of the data

Median = middle value of the data (in numeric order)

200

Written in standard form, what is the sum of 

4x^2-5x+6

and

-7x-6x^2-9

-2x^2-12x-3

200

(24x^2+15x)

3x(8x+5)

200

What are the "zeros" or "roots" of a function?

When the graph of the function crosses the x-axis

400

Which table represents a function?

4) becuase the table has no repeating x-values

400

The following conversion was done correctly. What are the final units for this conversion?

(ft)/(sec)

400

What is the median of the data values below?

89

400

(x^2-5x-2)-(6x^2-7x+3)

-5x^2+2x-5

400

x^2-5x-6

(x-6)(x+1)

400

The sum is irrational because the square root of 2 is irrational. 

OR

7.07106781187 is irrational because it is a non-terminating, non-repeating decimal

OR

7.07106781187 is irrational because it cannot be written as a fraction of two integers

600

State a value of x such that the relation below is not a function.

R={(-2,4),(-1,-2),(x,-4),(1,2)}


-2, -1, or 1 

600

The table below shows the radioactivity level of a substance after the given time, t, in seconds.

What is the average rate of change in radioactivity level over the interval 1 ≤ t ≤ 3?

-3.75

((2.5)-(10))/((3)-(1))

600

In the boxplot below, what is the maximum value, the median value, and the first quartile? (I need all 3 stated clearly)

first quartile: 25

median: 30

maximum: 50

600

Simplify:

(2x-3)(7x+4)

14x^2+8x-21x-12

14x^2-13x-12

600

9x^2-25y^2

(3x+5y)(3x-5y)

600

Simplify the square root below:

sqrt(48)

sqrt(48)

sqrt(16)sqrt(3)

4sqrt(3)

800

Find,

f(-8)

 Given:

f(x)=-1/2x-4

0

800

The table below shows the number of reported polio cases in Nigeria from 2006 to 2015.

What is the average rate of change, to the nearest hundredth, of the number of reported polio cases per year in Nigeria from 2006 to 2013?

-153.71

((53)-(1129))/((2013)-(2006))

800

What is the IQR of the boxplot below?

IQR = third quartile - first quartile

IQR = 70 - 25

IQR = 45

800

Find the quotient of...

(24a^6x^3y^2)/(8a^5xy^4)

(3ax^2)/y^2

800

Factor completely

2x^2+16x-18

2(x^2+8x-9)

2(x+9)(x-1)

800

What is the domain (in either inequality or interval notation) of the following function?

(0,12) or 0<x<=12

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