Final Jeopardy Test

Parent Functions

100

What makes a function "even"?

Being able to split it evenly across the y-axis/f(x)=f(-x)

200

What property must be true in order for a function to be considered odd?

-f(x) = f(-x)

300

Name three parent functions

Exponential/Reciprocal/Logarithmic/Quadratic/Cubic/Square Root/Absolute Value

400

The equation for a reciprocal function is:

y=1/x

500

Name all parent functions which are "odd"

Cubic, Reciprocal

Factorials

100

What does this symbol "!" mean?

Multiply the number by each number below it, down to 1.

200

5!

120

300

Write the formula for using this symbol: "!"

x(x-1)(x-2)...(3)(2)(1)

400

7!

5040

500

What number n! = 40,320

8

Proofs Terminology

100

Give an example of a conditional statement

If x, then y

200

What is the converse of a statement? (Use x as the hypothesis, and y as your conclusion)

If y then x/If conclusion, then hypothesis.

300

What is the contrapositive of a statement? (Use x as the hypothesis, and y as your conclusion)

If not y, then not x/If not conclusion, then not hypothesis.

400

Find the inverse: If a number is even, it is divisible by 2.

If a number isn't even, it is NOT divisible by two.

500

The contrapositive of a statement is always...

True

Polynomial Functions

100

Polynomial means...

Many Names

200

FOIL stands for?

First, Outer, Inner, Last

300

A polynomial follows the format of...

Terms of the highest to lowest power

400

Factor: x^2+4x+4

(x+2)^2

500

Factor: 2x^2-3x-9

(x-3)(2x+3)

Surprise Me!

100

What is the highest hand in poker?

Royal Flush

200

The formula for finding the area of a circle is...

pi * r²

300

How much is a black chip worth in poker?

$100 (except in California)

400

The interior angles of a triangle MUST add up to ___

180^o

500

What is the law of sines?

sinA/a = sinB/b