DIA 4 Review

For the parent function f(x) = 2^x, what does the transformation 2^x - 3 do?

• Moves the graph down 3 units

• Moves the graph up 3 units

• Moves the graph right 3 units

• Moves the graph left 3 units

f(x) = 5^x

Which transformation below shows a translation of 3 units to the right of f(x)?

• g(x) = 5^(x+3)

• g(x) = 5^x + 3

• g(x) = 5^x - 3

• g(x) = 5^(x-3)

The annual salary of a marketing manager is given by the function f(x) = 55000(1 + 0.05)^x.

Select all of the following that are true about this function.

• The starting salary is 55000 per year

• Marketing managers get a raise of 5% per year

• x represents the number of time working at the company

• 1.05 is the rate at which raises occur

• This is an example of exponential decay

Tags

CCSS.HSF-IF.C.8B

What type of exponential function is f(x) = 3000(1-0.02)^t ?

• exponential growth

• exponential decay

Tags

CCSS.HSF-IF.C.8B

A common feature of all exponential functions is that they

• grow or shrink at a constant pace

• are always increasing

• are never negative

• grow or shrink at a constant ratio

Tags

CCSS.HSF-IF.C.8B