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What is the primary difference between exponential and linear functions?

A: The growth of an exponential function is proportional to the previous growth while the growth of a linear function is constant.

B:The growth of a linear function is proportional to the previous growth while the growth of an exponential
function is constant.

C:The growth of a linear function is proportional to the previous growth while the growth of an exponential
function is proportional to the quadratic growth.

D:The growth of an exponential function is proportional to the quadratic growth while the growth of a linear function is constant.


Sagot :

Answer:

A

Step-by-step explanation:

We know that the growth of a linear function will always be constant. So, that eliminates B and C.

A quadratic function can be a function such as [tex]x^2[/tex], or [tex]5x^2+7x[/tex], etc.

An exponential function wouldn't be [tex]x^2[/tex], it would be [tex]2^x[/tex]! Or [tex]3^x[/tex], or [tex](1.738283)^x[/tex], etc. Therefore, D is eliminated.

So, the answer is [tex]\boxed{A}[/tex] and we're done!