Pre-AP Algebra 2 Review

Square Inverse Functions

100

^y=4√(x)

y=(1/16)x²

200

y=x² + 4

y=-√(x-4)

300

y=-√(-2(x))

y=-(1/2)x²

400

y=√(-(1/2)(x)) + 2

y=-2x²+8x-8

500

y=5√(x+5) - 7

y=(x²+14x+49)/25 - 5

Cube Inverse Functions

100

y=-∛(x)

y=-x³

200

y=2∛(x)

y=(1/8)x³

300

y=(1/125)x³ + 3

y=5∛(x-3)

400

y=-(x³+1)/2

y=∛(-2x-1)

500

y=∛(x) + 1

y=x³-3x²+3x-1

Graph Root Functions

100

Graph y=∛(x). Find f(-8)(-1)(1)(8)

(-8,-2),(-1,-1),(1,1),(8,2)

200

Graph y=2√-(x-1). Find f(0),(-3),(-8)

(0,2),(-3,4),(-8,6)

300

Graph y=-√((1/2)x). Find f(2)(8)(18)

(2,-1),(8,-2),(18,-3)

400

Graph y=-(1/2)∛(x-1) + 2. Find f(-7)(1)(2)

(-7,3),(1,2),(2,3/2)

500

Graph y=4√((1/2)(x-2)) + 2. Find f(0)(6)(16)

(0,2),(6,6),(16,10)

Features and Factors of Polynomials Functions

100

Factor 3st-6s+8t-16

(3s+8)(t-2)

200

Find the roots of y=-x²+8x-12

x=2, x=6

300

Find the roots of y=15x³+45x²+30x

x=0, x=-2, x=-1

400

64x³ - 125

(4x-5)(16x²+20x+25)

500

What is the end behavior of y=-x³-13x²-52x-60?

Left:     y↦ +∞ ,x↦ -∞ 

Right:   y↦ -∞ ,x↦ +∞ 

Exponential and Logarithmic Functions

100

Solve for x: y=e^x

ln(y)=x

200

Solve for x: y=8^x

log₈(y)=x

300

When is 2^x ≥ 4000

When x ≈ 12.

400

A loan of $20,000 at 7% is due in 10 years. How much is due?

f(10)=$20,000(1+.07)^x = $39,343.03.

500

A new car ($66,000) loses 40% value in 5 years. How much is it worth after 2 years? Put in form y=a·e^kx

y=66000e^ln(.903)(2) = $53,816.99