Polynomial functions
Rational functions
Exponential and Logarithmic functions
Limits and Conic sections
100

find x in the function x2 + 3x +2

what is -1 and -2

100

The horizontal asymptote of the function f(x) = (x+5)/(x+3)

what is 1

100

How much money would you have if you invest 1,000 dollars at a rate of 4% for 5 years?



what is P = 1,000(1 + 0.04)5 = 1216.65

100

What is the center, A, and B of the ellipse (x-2)2/16 + (y+3)2/9 = 1

what is 

Center = (2,-3) 

A = 4

B = 3





200

find x in the function 6x2 + 2x + 4

what is -1 and 2

200

What is the vertical asymptote(s) of the function f(x) = (x2 - 36)/(x2 + 3x - 4)

what is x=1 and x= -4

200

solve for t in this equation: 14328.63 = 12000(1 + 0.3)t

what is 6

200

Complete the square: x2 + 5x + y2 -18y +50 = 0

what is (x+2.5)2 + (y-9)2 - 37.25 

300

For 4x3 +5x2 - 2x - 3 find the domain, range, f(x) = 0,   f(x) > 0, f(x) < 0, when f(x) is increasing, when f(x) is decreasing



Domain: (-3,∞)

range:(-∞,∞)

f(x) = 0: -3

 f(x) > 0: (0.75, ∞)

f(x) < 0: (-3,-1)(0.2,∞)

when f(x) is increasing: (-3,-1)(0.2,∞)

When f(x) is decreasing:(-1,0.2)



300

Find the x-intercept(s) of the function f(x) = (x4 + 10x + 21)/(x5 - 47x)




what is x= -3, x= -7

300

condense this expression:  4log2x - 2/3log2y - 9log2z



what is log2(x/ 3√y2z9)

300

What is the eccentricity of an ellipse with focus points (2,12) and (8,12) and major vertices (-1,12) (11,12) 

what is e = 0.5

400

find x in f(x) =  3x3 + 4x2 - 3x + 2

 what is (1 土 4i)/3

400

The slant asymptote of the function f(x) = (x3-16x)/(x2+3x-4)

what is y = x - 3

400

Eight years ago you bought a new car worth $29,450, and it is currently worth $12,875. If the value of the car decreases exponentially, when will the car be worth $2,000?


what is $9240

400

What is the value of A, B, and C in the hyperbola (x-4)2/4 - (y)2/12 = 1 

what is 

A = 2

B = sqrt 12 or 3.46

C = 4



500

Divide the following: (x4 + 4x3 -28x +32) ➗ (x2 - 5x + 3)



What is x2 + 9x + 42 + ((155x-94)/(x2 - 4x + 3)



500

The domain of the function f(x) = (2x- 8)/(x2 - 5x + 6)


what is (-∞,2)(2,3)(3,∞)

500

Find a logarithmic equation that passes through the points (6,2)(8,3)(14,4)

what is y=log3(x-5)+2

500

What are the A and B values of the hyperbola 9x2 -36x -y2 -6y +18 = 0

what is

A = 1

B = 3

M
e
n
u