Unit 4, Part 1 Review

Exponential Functions

100

When does an exponential function have growth?

What is when b is greater than 1.

200

What is the domain of all exponential functions?

What is all real numbers

300

What is the range when a is negative?

What is y<0

400

What is the y-intercept of y=2(.25)^x?

 What is (0, 2)

500

Give the y-intercept, domain, and range of the graph of y=(3/2)^x?

What is y-intercept= (0,1) D: all real numbers and R: y>0

Logs

100

Evaluate log(10)

What is 1?

200

Write log₃X=4 to exponential form.

What is 3⁴=X

300

Evaluate log₂1024

What is 10

400

Evaluate log_g g^x

What is x

500

Evaluate log₅18 to 4 decimal places

What is 1.7959

Properties

100

Condense log₃5 + log₃12.

What is log₃60

200

Expand log₄(xyz²)

What is log₄x + log₄y + 2log₄z

300

Condense 2logx + log3

What is log3x²

400

Condense (1/2)log₄(x+2) + (1/2)log₄(x+2) - (2/3)log₄27

What is log₄[(x+2)/9]

500

Condense 2 log₃x - log₃(x-2)+2

What is log₃[x/(x-2)]+2

Base e/ln

100

Convert ln3=x into exponential form.

What is e^x = 3.

200

Evaluate ln e ^(-2.7)

What is -2.7

300

Expand ln (x+2)⁴

What is 4ln(x+2)

400

The digit in the billionths place for the number e.

What is 8

500

Expand ln(x² y³ z⁴)

What is 2lnx+3lny+4lnz

Growth/Decay

100

What is the formula for exponential growth? (for word problems)

What is y=a(1+r)^x

200

Determine if the following exponential equation is growth or decay. y=345(.96)^x

What is decay

300

Give the formula for compounding interest n times per year?

What is P(1 + r/n)^nt

400

An electric company has machinery valued at $55,000. It depreciates at a rate of 12.5% per year. What will be its value after 5 years? Round to the nearest tenth.

What is $9625

500

Johnny invests $100,000 to be compounded continuously for 10 years at a rate of 4%.  How much interest will Johnny earn?

What is $49, 182.47