Question

Is an exponential function a polynomial?

Answer 1

Nope. exponential function is the boss of polynomial

Answer 2

so is that a yes?

Answer 3

As the name says exponential function has variables on exponent :

\[\large f(x) = 2^{x}\]

Answer 4

polynomial has variables on ground :


\[\large f(x) = x^{2}\]

Answer 5

exponential function is NOT polynomial

Answer 6

what about a linear equation, would that be a polynomial?

Answer 7

we're messing with different words here :
```
equation
function
polynomial
exponential
linear
```

Answer 8

linear function* my bad.

Answer 9

okay.. can you show an example of linear function you have in mind

Answer 10

y=2x+6

Answer 11

"line"ear function... does it fit the definition of polynomial ?

Answer 12

according to the definition, it does I guess; it has two terms. But it does not curve like the other functions so im not sure

Answer 13

thats a good observation !

since it fits the definition of polynomial, we call it a polynomial.

one think about math - you must follow the rules.
we can call it a linear polynomial maybe..

Answer 14

ok, thanks for the help, needed this for my quiz tomorrow. And thanks for the medal also.

Answer 15

yw

lets look at this quick one last time
f(x) = 2x+6

are you familair with categorizing polynomials based on degree and number of terms ?

Answer 16

yes

Answer 17

good, then it would be more convincing to see that it is a polynomial, which is a binomial of degree 1.

Answer 18

quick question, do all polynomials cross the x axis, and do all non-polynomials avoid it?

Answer 19

nothing like that... everyone has privilige to cross axes

Answer 20

what does it mean.. when a function crosses x axis ?

Answer 21

it means a function has x intercepts? I dont know

Answer 22

we call that horizontal number line x axis
and the vertical number line y axis

Answer 23

exponential function is not simply a polynomial.

Answer 24

suppose your height varies according to your age and the function is given by
\[\text{height =2*age}\]

lets also suppose x axis represents your age and y axis represents your height

Answer 25

a polynomial function is
f(x) = a0x^0 +a1x^1+a2x^2 +---------- anx^n

Answer 26

\[y = 2x\]

graphing it we see