Trigonometry
Polynomials
Exponential Functions and Logarithms
Miscellaneous
Teacher Trivia
100

What is the angle 

 (3pi)/(4)  equal to in degrees?

135o

100

What is the degree of this function:

5

100

Rewrite the equation to solve for x.

 log_5x^3=y 

x=root(3)(5^y

100

What would be the roots of an equation that looked like this:

y=(x-a)^2(x-b)

(a, 0) and (b, 0)

100

What is Ms. Rossi's natural hair color?

Blonde!

200

Convert  (7pi)/(12)  radians to degrees.

105o

200

How many real roots does this function have?

3

200

Rewrite the equation to solve for x exactly.

10^(4x+5)=7

(log(7)-5)/4

200

Study the function.

 f(x)=3x-2 

What is the inverse of  f(x) ? (Make sure to use inverse function notation!)

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

200

How many siblings does Ms. Rossi have?

3!

300

Study the unit circle.

What are the exact coordinates of point M?

(-sqrt3/2, -1/2)

300

How many complex roots does this function have?

2

300

Study the equation.

12(4)^(x-2)=36

x=log_4(3)+2

300

Study the function.

 f(x)=(4x+5)/15 

What is the inverse of  f(x) ? (Make sure to use inverse function notation!)

f^-1(x)=(15x-5)/4

300

Ms. Rossi died her hair once in college--what color was it?

Blue!

400

What is the exact value of

 sin420° ?

sqrt3/2

400

Which of the following could be the equation of this polynomial?

A.  f(x)=1/24(x+4)(x+2)^2(x-3)

B.  f(x)=1/24(x-4)(x+2)(x-3)^2 

C.  f(x)=1/24(x+4)(x+2)(x-3)^2

D.  f(x)=1/24(x-4)(x+2)^2(x-3)^2 

C. 

f(x)=1/24(x+4)(x+2)(x-3)^2


400

The value of a house bought in 2005 is given by 

 V(t)=145,000(1.034)^t ,

where V is the value of the house and t is the number of years since it was bought.

How much will the house be worth in 2024?

Approximately $273,689.56

400

Solve the system of equations:

 y=x^2-4x+2 

y=-x+6

(-1, 7) and (4, 2)

400

How many ear piercings does Ms. Rossi have?

9

500

How many degrees is  (11pi)/4 radians AND what is the  cos((11pi)/4) ?

495°; 

-sqrt2/2

500

Determine a polynomial equation for a graph that passes through the point

(-4, -18)

and has these three x-intercepts: 

(-3,0), (-7/2,0), and (5,0)

f(x)=4(x+3)(x+7/2)(x-5)

500

Find the equation for an exponential function of the form 

 y=ab^x whose graph passes through the points (-1, 20) and (0, 4)

y=4(0.2)^x

500

A sports betting software makes predictions on the outcome of games. They are correct 2 out of every 3 games. What is the probability that they are incorrect in two consecutive games?

1/9

500
Where is Ms. Rossi traveling to this summer?

Thailand!!!!

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