Pre-Calculus Review Jeopardy

Inverse Functions

Properties of Logarithms

Polynomial Division

Limits at infinity

Find the Derivative

100

Find the inverse of f(x)= x+2

What is f^-1(x)= x-2

100

Write the expression as a sum, difference, or constant multiple of logarithms: log₁₀ zw/yx

log₁₀ zwy^-1x^-1= log z + log w + log y^-1 + log x^-1

What is log z + log w - log y - log x

100

Solve with Synthetic Division.

(x²+x+1)/(x+1)

What is x²+ 1/(x+1)

100

Evaluate the limit.

lim _x--->∞ 5x⁴/(2x-5)

What is ∞

100

Find f'(x) of the following: f(x)= x²-3

What is f'(x)=2x

200

Find the inverse of f(x)= (25-x)/5

What is f^-1(x)= -5x+25

200

Write the expression as a sum, difference, or constant multiple of logarithms: log₁₀ 8x

log (2³) + log (x)

What is 3log 2 + log x

200

Solve with Synthetic Division

(4x³+5x²-3x+8)/(x-2)

What is 4x³+13x²+23x+ 54/(x-2)

200

Evaluate the limit.

lim _x--->∞ 3x/(2x+5)

What is 3/2

200

Find f'(x) of the following: f(x)= 1/x²

What is f'(x)= -2/x³

300

Find the inverse of f(x)= (x+3)/(x-3)

What is f^-1(x)= -(3x+3)/(1-x)

300

Write as a single logarithm.

4lnx-6lny

ln x⁴ - ln y⁶

What is ln x⁴/y⁶

300

Solve with Long Division.

(2x³-5x²-8x+15)/(x-3)

What is 2x²+x-5

300

Evaluate the limit.

lim _x--->∞ 7/9x

What is 0

300

Find f'(x) of the following: f(x)= 2x²-5x

What is f'(x)=4x-5

400

Find the inverse of f(x)=(x-4)³+5

What is f^-1(x)= ³√x-5 +4

400

Write as a single logarithm.

1/2 log₁₀ x + 5 log₁₀ z

log₁₀ x^1/2 + log₁₀ z⁵

What is log₁₀ √x z⁵

400

Solve with Long Division.

(5x⁴+7x³+4x²+5x+10)/(x²+1)

What is 5x²+7x+1 - (2x+11)/(x²+1)

400

Evaluate the limit.

lim _x--->∞ 8xsinx

8x/1

What is DNE

400

Find f'(x) of the following: f(x)= x³-3x with the point (5,2)

What is f'(x)=3x²-3 = 3(5)²-3= 72

500

Find the inverse of f(x)=(-9x-9)/(x+8)

What is f^-1(x)= (-8x+9)/(9+x)

500

Write as a single logarithm.

7[lnx + ln(x+6)]- 1/2ln(y-6)

7[ln x(x+6)]-ln(y-6)^1/2= 7[ln(x²+6x)]-ln(y-6)^1/2

= ln (x²+6x)⁴/(y-6)^1/2

What is ln (x²+6x)⁴/√y-6

500

Solve with Long Division.

(5x⁵-4x⁴+3x³+x²-10)/(x²-x+2)

What is 5x³+x²-6x-7 + (5x+4)/(x²-x+2)

500

Evaluate the limit.

lim _x--->∞ (5-8/x²)

What is 5

500

Find f'(x) of the following: f(x)=2-4x^-2 with the point (5,1)

f'(x)= lim _h--->0 8x+4h/x²(x+h)²= 8(5)+4(0)/5²(5+0)²= 40/625

What is 8/125