Precalc Final Game 1

Polynomial functions

100

find x in the function x² + 3x +2

what is -1 and -2

200

find x in the function 6x² + 2x + 4

what is -1 and 2

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)

400

find x in f(x) =  3x³ + 4x² - 3x + 2

 what is (1 土 4i)/3

500

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

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

Rational functions

100

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

what is 1

200

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

what is x=1 and x= -4

300

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

what is x= -3, x= -7

400

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

what is y = x - 3

500

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

what is (-∞,2)(2,3)(3,∞)

Exponential and Logarithmic functions

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

200

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

what is 6

300

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

what is log₂(x⁴ / 3√y²z⁹)

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

500

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

what is y=log₃(x-5)+2

Limits and Conic sections

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

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

what is (x+2.5)² + (y-9)² - 37.25 

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

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

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

what is

A = 1

B = 3