Small - Jeopardy 1

Functions

100

The slope of the line given by:  4x + 2y = 3

-2

200

The coordinates of the vertex of the parabola: y = x² - 4x - 12

(2, - 16)

300

The vertical asymptote of the graph of the rational function: y = (2x + 4)/(x - 3) 

x = 3

400

The horizontal asymptote of the graph of the rational function: y = (2x + 4)/(x - 3)

y = 2

500

The x-intercept of the graph of y = log₂(x + 1) - 3

x = 7

Unit Circle

100

sin(30^o)

1/2

200

cos180^o + tan135^o

- 2

300

sin^-1(1)

90^o or pi/2 radians

400

cos^-1(sin(300^o))

5pi/6 or 150^o

500

x, so that cos(x)=0

x=90^o, 270^o or pi/2, 3pi/2 

Sequence and Series

100

The 9th term of the arithmetic sequence whose first term is -4 and common difference is -2 

-20

200

The 6th term of a geometric sequence whose first term is 3 and common ratio is 2

96

300

The common ratio of a geometric sequence whose 1st term is 8 and 4th term is 27

3/2 or 1.5

400

The sum of the infinite geometric series:  2 + 2/3 + 2/9 + 2/27 + ....

3

500

The sum of the first 10 terms of the arithmetic sequence whose 1st term is 1 and common difference is 5

235

Exponents and Logs

100

(2x³)⁴

16x¹²

200

log₃9²

4

300

(6x^-1)²(4x^-5)^-1

9x³

400

2lne¹¹

22

500

log₄(1/8)

- 3/2

Robinson Trivia

100

The year Robinson opened

1971

200

Name of the person for whom the Robinson Media Center is named

Ann Monday

300

The approximate length of Robinson's Main Hall in feet (accept answers within +/- 100 feet)

1100 feet. Accept 1000 feet to 1200 feet

400

The first nine words of the Robinson Fight Song

"Stand up for Robinson, for the blue and gold"

500

The year Mrs. Small graduated from Robinson

1995