1-Unit Growth/Decay Factor
Transformations
Logarithms
Parts of a Function
Concavity/Rate of Change
100

The growth factor in the function f(x)= 93(1.67)x

What is 1.67?

100

In a(bx+c)+d what does d do when it is positive or negative

What is vertically shifts the graph up or down?

100

In logarithmic form 43=64 is written as

What is log4(64)=3?

100

In the function f(x)= 243(1.54)x the value 243 represents

What is the initial value?

100

When is the function f(x)= 2/(x+3) concave up

What is (-3, infinity)?

200

The decay factor in the function f(x)= 302(0.73)x

What is 0.73?

200

In the function f(x)= 2(3x+4)+3 what does the 3 in the b position do

What is compress the function on the x-axis?

200

Simplify log7(2) + log7(22) - log5(23) using properties of logarithms 

What is log7(44) - log5(23)

200

Initial value if you invest $9000 and it decreases by 2.4% each month

What is $9000?

200

If you have a graph of a line that slowly goes up and then flattens out the bottle that belongs to this graph will be

What is a bucket?

300

Determine percent change for the function f(x)= 0.56(0.25)x

What is 75%?

300

If a is negative in the function what happens to the graph of the function

What is a reflection over the y-axis?

300

Solve the following for x. 2log3(x)=log3(16)

What is x=4?

300

One month decay factor if investment decreases by 6.4%

What is 0.936?

300

When is the function f(x)= -2(x+3) concave down

What is (-3, infinity)

400

An investment of 10,000 dollars increases by 8.9% each month. The growth factor for the function is

What is 1.089?

400

What happens if c is a negative value

What is the function horizontally shifts to the right?

400

Rewrite the following as a single logarithm. log(r) - log(s) + log(t)

What is log(r/s * t)?

400

The population of Finland in 1920 was 3,133,000 and in 1930 it was 3,500,000. Assume Finland's population increased exponentially. Define a function f that defines the population of Finland in terms of the number of decades since 1920.

What is f(x)= 3,133,000(1.12)x?

400

If you have a cylinder has a bottle what would the graph look like

What is a linear (constant) line?