Ch 7 Algebra 2 Review

7.1-7.3

100

 Is this exponential growth or decay? Identify the base and constant.

f(x)= 5 × (7/4x)

 

  a=5 b=7/4  

exponential growth

200

Evaluate log₄16 (hint: what is this in exponential form)

2

300

What's the inverse function of y=4x+3

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

7.4-7.5

100

Express log 400 – log 5 as a single logarithm

log80

200

 There are 10,000 people in a city. Each year the population increases by 17 percent.  Determine the population of the city after 2 years have passed. 

 A(t)= a(1+r)^t

13689

300

Solve for x. log7^x+2 =log70 (Hint: move the exponent)

0.18

7.6-7.7

100

k(x) = -(4^x )-5. Identify the transformations

-(f(x))+k)

reflection across x-axis, vertical shift down 5

200

Jeff wants to get rich and make a taco empire at his house. He decides to invest $4000 at a bank that has a rate of 4% increase compounded continuously. How much would he get after 10 years?

A=Pe^rt

$6595

300

Solve ln (x – 2) + 7 = 12 (hint: make ln by itself)

e⁵+2