A1A Jeopardy 4/5

Review Topics

100

Determine whether or not the following set of ordered pairs is a function or a relation. Explain why/why not

(5,1) (-7,1) (0,0) (8,17), (25^1/2,4)

It is a relation but not a function. Two points have the same x-coordinate but a different y-coordinate).

200

Solve the following system of equations.

2x = 5y - 3

3x + y = 8

(37/17,25/17)

300

Find the equation of the perpendicular bisector between the following points: (0,2) and (6,-2). Write the equation in slope-intercept form.

y=3/2x-9/2

400

If a₃ = 10 and a₉ = 202, write the recursive rule for the a_n term.

a₁= -54, a_n = a_n-1 + 32

500

Given the system of equations 

3x - 4y = 2t

5x+ 6y = 9

What value of t would make the solution lie on the x-axis?

t=27/10

Functions

100

Given f(1)=4, f(-3) = 20, write the function rule for f(x)

f(x) = -4x + 8

200

Draw a function with 2 local maximums, one global minimum, and the end behavior of "up, up"

Answers vary.

300

Draw a reciprocal function that is increasing on the following intervals: 

x<-2 , x>= -2

Answers vary

400

Use the domain of f(x) to calculate the domain of g(x). 

f(x) -> D: 2<=x<=6

g(x) = 1/2f(-x-3)+1

{D: -9<=x<=-5}

500

Create a function with three vertical asymptotes. 

Answers vary.

Transformations and Polynomials

100

Identify all the transformations, as well as the parent function name of the following function:

f(x) = -2(x+1)^3

Type: Cubic

VSF of 2, reflection over x-axis, 1 left

200

Create a fifth-degree binomial that is monic and has a constant value of 10.

x^5+10

300

Create a square root function that is reflected over the y-axis and is moved 3 right and 1 up. 

f(x) = sqrt(-x+3) + 1

400

Find -3g(x) + 5f(x) if 

f(x) = (x+1)^3 , g(x) = 2x^3-3x+11

-x^3+15x^2+24x-28

500

Sketch a graph of the following exponential function. Label the coordinates of a critical point. 

f(x) = 2^(x+1)-5

Answers Vary

Random Trivia

100

What is the "green" used in a traditional Caesar salad?

Romaine Lettuce

200

What is the Ridgewood High School motto?

A Tradition of Excellence.

300

What is the difference between interstate roads that end in a '5' versus roads that end in a '0'

'5' roads go North and South

'0' roads go East and West

400

How many miles (in a straight line) are between New York City and Philadelphia?

80.6 miles

500

Riddle:  The more you take, the more you leave behind. What am I?

A footprint.