Precalculus -- Exponentials and Logarithms

Exponential Functions

100

What is the growth factor for f(x)?

f(x)=14*7^x

7

200

What is the y-intercept for f(x)?

f(x)=14*7^x

14

300

which of the following functions will increase faster?

f(x)=4*5^x

h(x)=4*6^x

h(x)

400

which of the following functions will increase faster?

f(x)=4*5^2x

h(x)=4*5^x

f(x)

500

which of the following functions will increase fastest?

f(x)=4*6^x

h(x)=4*5^x

g(x)=4*5^2x

g(x)

Logarithms

100

log₁₀(10)=?

1

200

log₅(?)=0

1

300

log_?(64)=2

8

400

Rewrite the exponential relationship as a log relationship:

2⁷=128

log₂(128)=7

500

Rewrite the logarithmic relationship as an exponential relationship:

log₁₀(x)=6

10⁶=x

Bonus: Find x

Solving Equations

100

Solve for x:

x+5=7

x=2

200

Solve for x:

6x+3=21

x=3

300

Solve for x:

x²+5=105

x=10, -10

400

Solve for x and y:

2x-8y=-54

-2x+y=-2

x=5

y=8

500

Solve for x (leave it in log form)

2^x-3+4-5+6-7=8

x = log₂(13)

Percents, Decimals, and Fractions

100

What's the decimal form of 15%?

0.15

200

What's 43% of 200?

86

300

What's the decimal form of 0.002%

0.00002

400

What percentage does 7/56 equal to?

12.5%

500

What's the most simplified fraction form of 64%?

16/25

Math Department

100

Which math classes have activity sessions like this one?

Precalculus (Math 6), Calculus I (Math 75), and Calculus (Math 76)

200

True or false: Dr. Rajee Amarasinghe is the chair of the math department.

False

Dr. Carmen Caprau is the chair and Dr. Mario Banuelos is co-chair.

300

Name one math professor besides your Math 75 professor.

Answers will vary.

400

Where is the math department office?

Peters Business Building Room 381

500

What options are there for a bachelor's degree in Mathematics?

Applied, General, Pure, Statistics, Teaching, Integrated Credential