Math006A jeopardy.

Logarithms

100

How log(M*N) can be rewritten

log(M) + log(N)

200

ln(2e^x) =

ln(2)+x

300

Solve 3(2^x-14)=54

log(32)/log(2)

400

Solve log(5^x/10^x)=1

x=1/ [log(5)-1]

500

Solve ln[(e²e^2x)/e^{x^2}]=3. Leave answer as  a polynomial.

-x²+2x+2=2

Exponential Functions

100

The formula for continuous growth rate is ____

Pe^rt

200

$15,000 is initially but into a bank account. The money is compounded biweekly at a rate of 3% for 2 years. This is an example of ____ interest.

Compound Interest

300

C₁₄ decomposes exponentially, with a half-life of 5730 years. Suppose you find a bone buried containing 5mg of C₁₄. How much C₁₄ did the bone contain 2000 years ago?

6.37mg

400

Jessica puts $10,000 into a savings account that pays interest every month at a rate of 1.8% per year. How much money does Anthony have after 2 months?

$10,029.78

500

Given that g(x) is an exponential function and

g(-2)=3

g(1)=24,

Determine g(x)

g(x) = 12(2^x)

Translations

100

True or false.

The function y=-5sinx² is not a function.

*hint: you should probably type this into Desmos*

False.

200

What is the parent graph of f(x)= 1/3sqrt(x+5)?

f(x) = sqrt(x)

300

True or false.

The parent function of f(x)= 3(x²-6)-7 is f(x)=x². Compared to the parent function, the translated function's domain is more narrow.

False.

Both functions have the SAME domain.

400

True or False.

f(x)= -2(x-3)2+4

This graph has a vertical shift up 4, a horizontal shift of right 3, is stretched by 2 and is reflected across the y-axis.

False.

The graph is reflected across the x-axis.

500

What transformations occur for f(x) = 4-sqrt(3-x)?

Reflected on y-axis

shifted right by 3

Shifted down by 4

Geometric Functions

100

Solve |2x-1| > |3x+6|.

x<-7

x<-1

200

Simplify:

(15r^-2t⁵) / (3r³t^-2)

5t⁷/r⁵

300

Rationalize:

sqrt(11) / 2sqrt(7)

[sqrt(7) * sqrt(11)]/14

400

f(x) = sqrt(x+3), g(x) = 2x+9 and h(x) = x/4 . 

Function m is defined as m(x) = g(f(x)). Write the formula for m.

2sqrt(x+3)+9

500

Simplify: (x²+x-6)/(x²-x-12) + (2x²-4x-16)/(x²-6x-16)

[(x-2)(x-8)+2(x-4)²] / [(x-4)(x-8)]

JennyJenJen

100

What is my major?

Cellular, Molecular and Developmental Biology

200

What does Jennifer want to switch her major to?

Biology with a minor in neurology

300

What is Jennifer's career goals?

Med school/PA school

400

What is Jennifer's favorite color?

Brown

500

What is Jennifer's ethnicity?

*hint: look at her last name*

Nigerian :)