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Determine which function(s) are exponential. Select all that apply.

Determine Which Functions Are Exponential Select All That Apply class=

Sagot :

Dha91663

B C D are exponential functions

The functions in option B and option C are exponential function.

What is exponential function?

A mathematical function with the formula f (x) = [tex]a^{x}[/tex] is an exponential function. where an is 'a' constant known as the function's base and 'x' is a variable.

  • Step 1: Exponential function for option B.

The data for the values of x and y are given as

x   =    0     1      2     3      4

y   =    1/3   1     3      9      27

From the data it can be seen that the value of x goes constant change of '1'.

1 - 0 = 1

2 - 1 = 1

3 - 2 = 1

4 - 3 = 1

And the value of y also have the same ratio,

1/(1/3) = 3

3/1 = 3

9/3 = 3

27/3 = 3

  • Step 2: Exponential function for option C.

The data for the values of x and y are given as,

x   =    0        1        2       3        4

y   =    5     5/2      5/4    5/8    5/16

From the data it can be seen that the value of x goes constant change of '1'.

1 - 0 = 1

2 - 1 = 1

3 - 2 = 1

4 - 3 = 1

And the value of y also have the same ratio,

(5/2)/5 = 1/2

(5/4)/(5/2) = 1/2

(5/8)/(5/4) = 1/2

(5/16)/(5/8) = 1/2

Therefore, the functions given in option B and option C are exponential functions.

To know more about the exponential functions, here

https://brainly.com/question/12940982

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