Question

Which function represents exponential growth?

Answer 1

Explanation:

A function represents exponential growth if in

a

x

,

a

>

1

Now let us see each of these one by one

A.

(

7

9

)

−

x

=

(

9

7

)

x

and as

9

7

>

1

this represents exponential growth

B.

(

5

6

)

x

and as

5

6

<

1

this does not represent exponential growth

C.

(

8

3

)

−

x

=

(

3

8

)

x

and as

3

8

<

1

this does not represent exponential growth

D.

−

0.56

x

as

−

0.56

<

1

this does not represent exponential growth

Answer 2

Answer:

The function $f(x) = b^{x}$ represents exponential growth.

where b>0 and b is not equal to 1.

and,

x = variable;

b = constant;

Explanation:

A mathematical function called an exponential function is employed often in everyday life. It is mostly used to compute investments, model populations, determine exponential decline or exponential growth, and so on.

An exponential function is $f(x) = b^{x}$ where x is called a variable, and b is the constant.

So, x can change as it is a variable. and b is the constant that is fixed.

So, The exponential function:

$f(x) = b^{x}$

where b>0 and b is not equal to 1.

and,

x = variable;

b = constant;

Depending on the exponential function, an exponential curve might increase or decrease. A quantity should have either exponential growth or exponential decay if it regularly increases or decreases by a predetermined percentage.

Hence,

The function $f(x) = b^{x}$ represents exponential growth.

where b>0 and b is not equal to 1.

and,

x = variable;

b = constant;

To learn more about exponential growth, visit:

https://brainly.in/question/788703

To learn more about exponential function, visit:

https://brainly.in/question/25759029

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