We're Exponential

Lets Go Exponential

100

Standard form of an exponential function

y=ab^x

200

An exponential function has a growth factor if

b>1

300

An exponential function is decaying if

0<b<1

400

A line that a graph approaches but never touches

Asymptote

500

Find the function that models the situation then solve: A population of 1,860,000 decreases 1.5% each year for 12 years

y=1,860,000(0.985)^x ; 1,551,485

It's A Translation

100

What is the formula for interest compounded continuously?

A(t)=P*e^rt

200

The parent function is y= (1/3)^x . Describe the translation for the equation y=5(1/3)^x-8

Stretch by 5 and down 8

300

The parent function is y=2^x. What is the translation of the equation y=3(2)^x-1+4

Stretch by 3, right 1, and up 4

400

Describe the translation of y=log₅x+1

Up 1

500

Describe the translation of y=log₄(x+2)-1

Right 2 and down 1

Change Me

100

What is the change of base formula?

log_bm=(log_cm)/(log_cb)

200

State all of the properties of logarithms

Product, quotient, power

300

Change to logarithm form 9²=81

log₉81=2

400

Evaluate log₅62

2.564

500

Simplify log(a²-10a+25)+(1/2)(log(1/(a-5)³)) - log((a-5)^(1/2))

0

Solve Me

100

2^x=8

3

200

5^3x=(1/125)

-1

300

3^-2y+2=81

-1

400

2logx+log4=2

5

500

3logx-log6+log2.4=9

1357.2

All About the e

100

What is natural log? State it in standard form

Base e; y=lnx

200

Write as a single natural logarithm 5lnm-3lny

ln(m⁵/y)

300

Write as a single natural logarithm (1/3)(lnx
+lny)-4lnz

ln((xy)^1/3/z⁴)

400

Solve ln((x-1)/2)=4

110.196

500

Solve e^x/9-8=6

23.752