math

Completing the Polynomial functions

100

Find all real solutions of the polynomial equation x²-64=0

x=8 

x=-8

200

Find all x intercepts of the polynomial equation x²+15x-28

-15+-sqrt112/2

300

Find all x and y intercepts of the polynomial equation 2x²+5x+19

-5+-sqrt127i/4

400

Find all real solutions of the polynomial equation: x³ - 2x² - 8x = 0

x=0, x=-2, x=4

500

Find the quotient and remainder: (x³ + 13x + 16) ÷ (x + 3)

x²-3x+22 r-50

Rational functions

100

Find the vertical asymptote of the function: f(x)=(x-7)/(9x+9) 

x=-1

200

find the horizontal asymptote of the function: f(x)=(x+5)/√16x^2-100

y=1/4

300

find the x and y intercepts of the function: f(x)=(x^2-4)/(x+3)

x-int: (-2,0) and (2,0)

y-int: (0,-4/3)

400

find the hole in the graph of the function: f(x)=(x-2)/(x^2-5x+6)

hole at x=2

500

Find the slant asymptote of the function: f(x)=(x^2+2x+1)/(x-1)

y=x+3

Limits and Conic sections

100

limit of f(x) = 3x+2 as x approaches 0

∞

200

limit of f(x) = 3x^2+2x-1 as x approaches 2

15

300

What conic section is represented by the equation by the equation (x-4)^2/36 + (y+2)^2/4 = 1

hyperbola

400

What are the foci points of this ellipse: y^2/25 + x^2/9 = 1

(+-4, 0)

500

limit of x^2-4 / x-2 as x approaches 2

4

Exponential and Logarithmic functions

100

what is the value of b for the following function: y=5(3)^x-30

3

200

Condense the following equation:3log2-6log8

log2^3 - log8^6

300

Write the equation for the following situation: You invest 9,000 on a car, a 12% interest rate for 12 years.

y= 9000(1+0.12)^12

400

 You invest 13,000 into a car at 12.3% interest. In five years, how much money will you have?

$23218.93

500

If you purchased a motorcycle for $20,000, 5 years ago, and it is now worth 12,000, what is the rate of depreciation?

r= 9.7%