Question

2. The parameter "b": Compare the graphs of several different exponential growth functions in

Mathematica to discover the significance of the parameter "b". Explain in detail what the
parameter "b" tells you about the graph of an exponential growth function.

Answer 1

See explanation

Explanation:

Required

The significance of "b" in exponential function

An exponential function is represented as:

`y = ab^x`

In the above equation, parameter "b" is the rate of the function

In other words, the constant multiplier of the function.

Take for instance;

`y = 2*4^x`

By comparison:

`b = 4`

Another instance is:

`y = 2(-4)^x`

By comparison

`b = -4`

Other significance of parameter b are:

If
`b > 0` then b represents a growth factor

If
`b < 0` the b represents the factor of decay

`b \\e 0` i.e. b is never 0