jeopardy final exam

polynomial and rational functions

100

Find the zeros of f(x)=x²-9

x=3,-3

200

What is the end behavior of f(x)=-2x³+5x?

Left up, right down

300

State the vertical asymptote of f(x)=3/x-4

4

400

Find the remainder when x³-2x²+4x-5 is divided by x-1

-2

500

Find the domain of f(x)=x+1/x²-16

All real numbers except x=+ or - 4

exponential and logarithmic functions

100

Solve: 2^x=16

x=4

200

Rewrite log₂ 8=3 in exponential form

2³=8

300

Expand: log(xy²)

 log x + 2log y

400

Solve: ln x=5

x=e⁵

500

An investment doubles every 8 years. What type of growth is this?

Exponential growth

Trigonometry

100

What is sin 90°?

1

200

State the period of y=sin x

2pi

300

Find the amplitude of y=4cos x

4

400

Solve on [0,2pi]: sin x=0

0,pi,2pi

500

Verify: sin²x+cos²x=?

1

functions and transformations

100

What transformation occurs in f(x)+3?

Shift up 3 units

200

Is this function one-to-one? f(x)=x³

Yes

300

Find f(2) if f(x)=3x-1

5

400

Describe the transformation of y=-(x-2)²

Right 2 units and reflected over x-axis

500

State the inverse of f(x)=2x+1

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

probability and statistics

100

Find the next term: 2, 5, 8, 11…

14

200

What type of sequence is 3,6,12,24?

Geometric 

300

Find the common ratio: 2,10,50

5

400

Find the explicit formula for 4,7,10,13

a_n=4+3(n-1)

500

Find the sum of the first 5 terms of 1+2+4+8+16

31