Exponentials
Logarithms
Functions, Graphing, and Optimization
Math Trivia 1
Math Trivia 2
100

Solve  2^(4x+2)=8/root(3)4 

What is 

x=1/12

100

The domain of the function  f(x)=log(2x+6) 

What is 

(-3, \infty)

100

The function,  f(x)=3x^2-6x+8 , in vertex form.

What is 

f(x)=3(x-1)^2+5

100

The formula 

 a^2+b^2=c^2 is known as.

What is the Pythagorean Theorem?

100

A constant named after Leonhard Euler and often used in formulas using compound interest.

What is  e ?

200

Solve  2^(3(x-4))=3*5^x 

What is 

x~~20.035 or x=(ln(4096)+ln(3))/(ln(8)-ln(5)) 

200

Solve 

 log_2(x+3)+log_2(x+6)=2 

What is 

x=-2

200

Graph the function,  f(x)=-2x^2+3x+5 

What is 

200

The formula used to calculate the slope of a line

What is 

(y_2-y_1)/(x_2-x_1)

200

The individuals credited with the invention of calculus

Who is Isaac Newton and Gottfried Lebniz?

300

The rate at which an investment will triple in 12 years if compounded continuously.

What is

r=ln(3)/12

300

Rewrite the following as a single logarithm:

 2log_2(x-4)+6log_2(x-2)+2 

What is 

log_2((x-4)^2(x-2)^6))+2

300

Graph the function,  f(x)=(2x^2-2)/((x^2+1)(x-4) 

What is 

300

The only number without a Roman numeral

What is  0? 

300

The sequence  0,1,1,2,3,5,8,13,21,34, ... 

What is the Fibonacci Sequence or  F_{n+1}=F_n+F_{n-1} 

400

The value of the truck at the end of the seventh year, given TransUSA Trucking Co. purchased a truck for $80,000 and the company depreciated the truck at the end of the year by 15% of its current value.

What is 

$27,995.02

400

Solve 

 2+2log(x)=5+log(x-1) 

What is

x=500+-10sqrt(2490)

400

What are the dimensions of a rectangle divided into two equal rectangles of maximum area that has total perimeter (including the middle divider) of 120 feet?

What is 

(30 xx20)

400

This film depicts the story of a team of female African-American mathematicians who served a vital role in NASA during the early years of the U.S. space program. 

What is Hidden Figures?

400

The century the equal sign was invented

What is the 16th Century?

500

The function of the form 

 f(x) = c xxa^x which passes through the points 

 (-1,18) and  (4,2/27). 

What is 

6(1/3)^x

500

Rewrite the following logarithm as a sum of logarithms: log_3(((x^2-4)(x+4))/(9sqrt(3x+2))) 

What is

log_3(x^2-4)+log_3(x+4)-1/2log_3(3x+2)-2

500

What are the dimensions of a rectangle divided into three equal rectangles of maximum area that has total perimeter (including the middle dividers) of 120 feet?

What is 

(30xx15)

500

The billionth digit of  pi 

What is 

9?

500

The Department Chair of the Fresno State Math Department

Who is Dr. Carmen Caprau