Exponential Equivalent Rate

3(5 + 2) and 3(5) + 3(2) are _____________ expressions.

• equivalent

• substitute

• fraction

• exponential

What type of function is this: y = a(b)^x

• Linear

• Quadratic

• Exponential

• Rational

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

• n= 4(1/2)^h

• n= 4(2)^h

• n= 4+ (2)^h

• n= 4 + (1/2)^h

HINT: Use your y= on the calculator to determine which one is equivalent.

• 1

• 2

• 3

• 4

How would you describe the rate of change of these functions?

• Both functions have constant rate of change because they are exponential.

• Both functions have a variable rate of change because they are both exponential.

• A has a constant rate of change because it is linear and B has a variable rate of change because it's exponential

• A has a constant rate of change because it is quadratic and B has a variable rate of change because it's exponential

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

• There is not enough information to compare the rate of change of f(x) to g(x).

Compare the following functions:

f(x) = 100(1.25)^x

g(x) = 100(1.02)^x

Which function has the greater rate of change?

Given a graph of an exponential function that passes through the points (1,2) and (3,8), what is the rate of the exponential function?

• 2

• 3

• 4

• 6

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

• There is not enough information to compare the rate of change of f(x) to g(x).