Honors Algebra II

What's Your Function?

100

How do you know if something is a function just by looking at the graph?

Passes the vertical line test

200

What is the domain of f(x) = √ (x - 2)

[2, inf)

300

What is the range of f(x) = x³ - 2

(-inf, inf)

400

What is the equation of:

(see graph)

f(x) = -x² + 3x + 10

OR

f(x) = -(x+2)(x-5)

Along Came Poly-nomial

100

Solve for x:

x²-10x+24=0

x=4, 6

200

Multiply: 

(x - 5)(x² + 5x + 25)

x³ - 125

300

What is the end behavior of f(x) = 3x² + 5x³ - 4x⁴?

As x -> -inf, f(x) -> -inf

As x -> inf, f(x) - > -inf

400

Find the remainder: 

(x⁴ + 8x² - 5x + 10)/(x - 2)

48

Lincoln Logs

100

Solve for x:

4^x - 12 = 0

x = log₄(12)

200

Completely condense: 

2log₅(x) - 4log₅(3)

log₅(x²/81)

300

Simplify:

log₃(1/3⁷)

-7

400

Convert log₃(7) to base 5

log₅(7)/log₅(3)

Sine of the Times

100

cos(7pi/6)

-√ (3)/2

200

sec(-135°)

-2/√ (2)

300

Solve for x:

tan(x) = undefined

x = pi/2 + pi(n)

OR

x = 90 + 180n

400

For what values of x is the cot(x) = - √ (3)

x = 5pi/6 + pi(n)

x = 150 + 180n

e is for Euler

100

What is the average of the first 3 digits of e?

10/3

200

Solve for x:

ln(x - 1) = 4

x = e⁴ + 1

300

The graphs of exponential functions all have what feature?

A horizontal asymptote

400

Solve for x:

-x²e^-x + 2xe^-x = 0

x = 0, 2