Exponential Functions
Quadratic Functions
Rational Functions
Trigonometry
Others
100

When would x^-2 be larger then x^2?

0<x<1

100

Find the roots of the following quadratic equation:

y=x^2-2x-15

x=-3 and x=5

100

State restrictions

(x+6)/((x-3)(x+4)(x+6)


x=-6, x=-4, x=3

100

Solve for the missing angle.

x=52 

100

Evaluate: 

256^(3/4)


64

200

Simplify. 

(2a^2b^3)^4/(4ab^2)

4a^7b^10

200

How many roots does the quadratic function 

y=-4x^2+5x-1

2 real roots

200

Simplify 

(x^2+3x-18)/(x^2-9)

(x+6)/(x+3)

200

Solve for x.

x= 53.47 cm

200

How many solutions would f(x)= 4x^2+7x-3 have?

2

300

Solve for x

5^(x-1)/25=1

x=3

300

State the transformations applied to the function:

f(x)=-4(x-1/2)^2+3

Reflection in the x-axis

Vertical stretch by a factor of 4

Horizontal shift  1/2 units right

Vertical shift up 3 units

300

Expand and Simplify. Then state restrictions

((x^2+x-2)/(5x+10) )times((x^2-25)/(x^2+2x-3))

((x+5)(x-5))/(5(x+3))

x=-3    x=-2

300

Determine the exact value(s) for theta if:

cot theta = -1

135 degrees and 315 degrees

300

Given 

f(x)=3x+4 and g(x)=2x^2-1

Determine: 2f(x)+g(x)

2x^2+6x-7

400

State the transformations applied to the exponential function below.

f(x)=4/(2x+6)-5

Vertical stretch by a factor of 4

Horizontal compression by a factor of 1/2

Horizontal shift left 3 units

Vertical shift down 5 units


400

Find the maximum value of 

y=-5t^2+40t+100

The maximum value is 180

400

Expand and simplify.

(4x^2-3x-1)/(3x^2-5x+2) divide (4x^2+9x+2)/(3x^2-4x-4


1

400

State the maximum and minimum of the trig equation

y=4sin(x+45)+5

max: 9

min: 1

400

The price of college tuition increases at a rate of 3.2% per year. If the current price of tuition is $2417, what was the price 5 years ago?    

$2064.80

500

What are the base ordered pairs for an exponential function?

(0, undef)

(-1, -1)

(1, 1)

(undef, 0)

500

Determine the value for k for which the quadratic equation has one root

f(x)=9x^2+kx+25

k=30

500

Simplify and state restrictions

(3x)/(x^2-16)-(4x)/(x^2-2x-24)

(-x(x+2))/((x+4)(x-4)(x-6))

x=4, x=-4, x=6

500

Which sinusoidal curve (sine, cost, -sinx, -cosx) would you use to represent the graph below with NO 'd' value.

y=-sinx

500

FINAL JEOPARDY

Determine an equation for the inverse of 

g(x)= 5(x-3)^2-1


g(x)^-1 = +- sqrt(x+1)/5 -3

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