Function ops
e and ln
Apps of logs
Rational functions
Using the unit circle
100

If f(x)=3x−2, find f(-4)

What is -14?

100

Rewrite in exponential form:
ln⁡(x)=2

What is x = e2

100

You invest $1000 at 5% interest for 2 years. About how much money will you have?

What is $1102.50?

100

Find the vertical asymptote of

f(x)=1/ (x-2)

What is x=2?

100

Find cos⁡(0)

What is -1?

200

If g(x)=2x+1 and h(x)=x2 , find (g+h)(3)

What is 16?

200

Simplify:
ln⁡(3)+ln⁡(2)

What is ln(6)

200

A population starts at 50 and doubles. What kind of growth is this?

What is exponential growth?

200

Find the x-intercept of 

What is (4,0)

200

Find sin⁡(90*)

What is 1?

300

If f(x)=x2 , find f(5)−f(2)

What is 21?

300

Solve:
ex=10

What is x=ln(10)?

300

A bacteria culture starts with 100 bacteria and doubles every hour. How many bacteria will there be after 3 hours?

What is 800?

300

Find the hole of

f(x)=(x^2-9)/(x-3)

What is hole at (3,6)

300

Fine cos

(2pi)/3

What is -1/2

400

If f(x)=x+1 and g(x)=3x, find (fg)(2)

What is 18?

400

Solve:
ln⁡(x)=4

What is x=e4?


400

You invest $500 at 10% annual interest for 1 year. How much interest do you earn?

What is $50?

400

Find the horizontal asymptote of

f(x) = (3x^2+1)/(x^2+5)

What is y=3

400

If cosθ=

-(√2)/2

and θ is in Quadrant II, find sinθ

What it 

(√2)/2

500

If f(x)=x−2 and g(x)=x 2 , find (f∘g)(3)

What is 7?

500

Solve:
2ex=8

What is x=ln(4)?

500

A car worth $20,000 loses 15% of its value each year. Will the value decrease faster at the beginning or later?

What is faster at the beginning?

500

State the domain of

f(x)=2/(x+7)

What is x=-7
500

If sinθ=−1/2 and θ is in Quadrant IV, find cosθ and tanθ

costheta=(√3)/2

tantheta =-(√3)/3

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