Question

Exponential functions exhibit exponential growth (or decay). What does this mean to the graphs of these functions?

Answer 1

Option a is correct.

Exponential functions exhibit exponential growth (or decay) which mean the graph will rise or fall more dramatically than a polynomial graph

Explanation:

An exponential function is in the form of
`y =ab^x` where a≠0 is a y-intercepts and b is a positive number other than 1, multiplier this base is constant , x is the independent variable and y is the dependent variable.

Exponential growth:

• If b > 1

• when x increases, y increases at a increasing rate .

Exponential decay:

• if b is between 0 and 1 i.e, 0 <b< 1

• when x increases, y decreases at a increasing rate .

therefore, the graph will rise or fall more dramatically than a polynomial graph