Question

determine wether each rule represents and exponential function.
y=12*x^2

y=7x+3

Answer 1

@AdamK

Answer 2

exponential function is when the variable in the exponent.

Answer 3

Such as \(\large\color{slate}{ y=e^x }\)

Answer 4

this is exponential or not, what do you think ?

Answer 5

the first on is the second is not

Answer 6

the second one is not, correct.
The first one is, are you sure?

Answer 7

\(\large\color{slate}{ y=x^2 }\) is just a parabola, and \(\large\color{slate}{ y=12x^2 }\) is a parabola increased by the scale factor of 12.

Answer 8

But, exponential function is something like
\(\large\color{slate}{ y=a(b)^x}\)
where
\(\large\color{black}{ \huge{ \begin{array}{| l | c | r |}
\hline \scr~~~x~~ & \scr y \\
\hline
\scr~~~0~ & \scr a \\
\hline
\scr~~~1~ & \scr a\cdot b \\
\hline
\scr~~~2~ & \scr a\cdot b\cdot b \\
\hline
\scr~~~3~ & \scr a\cdot b\cdot b \cdot b \\
\hline \end{array} } }\)

and on.... multiplying times b every time x goes up by 1.
(where b>1)

Answer 9

I mean where b>0

Answer 10

but in case of y=x^2 you are just taking perfect squares
x y
1 1
2 4
3 9
4 16

when you have
y=12x^2, then
x y
1 12
2 48
3 108
4 196
and on... where all you are doing is mltiplying all the perfect squares times 12.

Answer 11

the first one is an exponential function
the variable is raised to a power
the change is "y" is not linear