Rational Functions
Exponential and Logarithmic Functions
Limits and Conic Sections
100

Find the vertical asymptote of f(x) = (x³-1)/(4x+2)

What is x = -1/2?

100

The logarithmic form of 10x=2.

What is log(2)=x?

100

The limit of f(x)=3x+1 as x approaches infinity

What is infinity?

200

Find the domain and range of f(x) = (x2+3)/x

What is (-∞,∞)?

200

The base of the natural log (ln).

What is e?

200

The standard form equation of a circle?

What is f(x) = (x-h)2 + (y-k)2 = r2?

300

Find all asymptotes and intercepts of (x-2)/(2x+5)

What is VA: x = -5/2, HA: y = 1/2, x-int = 2, y-int = -2/5?

300

The solution to 4x=16384

What is x=7?

300

The limit of [(x-5)(x+2)]/(x+2) as x approaches -2

What is y=-7?

400

Find all asymptotes and intercepts of f(x) = 1/(2x2-18)

What is VA: x = 3 and x = -3, HA: y = 0, x-int = none, y-int = -1/18?

400

The amount of money in an account after 25 years if $2500 was deposited initially with an interest of 5% compounded quarterly.

What is $8658.51?

400

The foci of the ellipse with the equation (x+5)2/9 + (y-3)2/16 = 1

What is (-5, 3+-√7)?

500

Sketch the graph of f(x) = (x2-4)/(x2+4x-5)

What is https://imgbox.com/imavKBRU (open the link to see the graph)

500

log(3) + log(x) - log(2) condensed.

What is log(3x/2)?

500

The asymptotes for the hyperbola with the equation (x-2)2/4 - (y-3)2/1 = 1

What are y=0.5x+2 and y=-0.5x+4?