Aadash's Precalc Jeopardy

Functions

100

What is the slope of the line y=3x+7

3

200

Find f(2) if f(x)=(x^2)-4x+1

-3

300

What is the vertex of y=((x-2)^2)+5

(2,5)

400

 function is increasing on what interval if f(x)=x^3

(-∞,∞)

500

Find the inverse of f(x)=2x-9

f^-1(x)= (x+9)/2

Trig

100

What is sin90°

1

200

Convert 180° to radians

π

300

What is the period of y=sinx

2π

400

Solve: cosx=0 for 0≤x<2π

π/2, 3π/2

500

Verify: (sin^2)x+cos^2x=?

1

Exponential & Logs

100

Simplify 2^3

8

200

Rewrite log₂8=3 in exponential form

2^3=8

300

Solve 3^x=81

x=4

400

Solve log(x)=2

100

500

What is the asymptote of y=2^x

y=0

Polynomials & Rational Functions

100

What is the degree of (x^4)-3x+7?

4

200

Factor: (x^2)-9

(x-3)(x+3)

300

Find the zeroes of (x^2)-5x+6

2 and 3

400

State the vertical asymptote of y= 1/(x-4)

x=4

500

Divide: ((x^2)+5x+6)/(x+2)

x+3

Vectors & Polar

100

What is the magnitude of vector (3,4)?

5

200

Convert polar point (2,π/2) to rectangular coordinates

(0,2)

300

Add vectors: (2,3)+(4,-1).

(6,2)

400

Convert (1,√3) to polar coordinates.

(2,π/3)

500

A point on the unit circle has coordinates (√2 /2,√2 /2). What angle corresponds to this point.

π/4 or 45°