Converting
Domain & Range
Properties
Word Problems
Mr. Hafer
200

Convert to Logarithm Form

15^x=730

log_15(730)=x

200

What is the Range for ALL Logarithm functions?

(-oo, oo)

200

Condense

log_7(3)+log_7(8)

log_7(24)

200

Write the function for:

300 deer growing at 5% per year over t years.

300(1.05)^t

200

What color shirt does Mr. Hafer wear every Wednesday?

Red

400

Convert to Exponential Form

log_b(m)=w

b^w=m

400

What is the Domain of:

f(x)=log_2(x)

(0, oo)

400

Condense:

3log2-log2

log4

400

If a population starts with 700 and decays at 4%, what will the population be after 10 years?

465

400

This Avenger is Mr. Hafer's favorite.

Ironman

600

Convert to Logarithm Form

3^(2x+1)=F

Log_3(F)=2x+1

600

What is the Domain of:

f(x)=2log(x+3)

(-3, oo)

600

If a population starts with 500 and increases by 7% per year, how many years will it take to grow to 1000?

10 years

600

This is the reason Mr. Hafer became a teacher.

For the money and fame

800

Convert to Exponential Form

Log_(2b)(XY)=37

(2b)^37=XY

800

What is the End Behavior of:

f(x)=log_2(x-1)

x->oo, f(x)->oo

x->1, f(x)->-oo

800

Condense & Simplify:

2log3x-logx

log9x

800

An initial population of 4 million is growing by 6.25% per year. How long will it take to grow to 100 million?

53 years

800

Mr. Hafer attends this festival every year and it starts this weekend.

The Renaissance Festival

1000

What is the End Behavior of:

f(x)=-5ln(x+4)+99

x->-4, f(x)->oo

x->oo, f(x)->-oo

1000

Condense & Simplify:

log5x+log4-log2x

1

1000

How long will it take 315 million isotopes to decay to 75 million if the decay rate is 3.5% per hour?

40 hours

1000

What is Mrs. Hafer majoring in at college right now?

Psychology