Question

Which function could be a stretch of the exponential decay function shown on the graph

Answer 1

Answer:option c

Explanation:

Answer 2

Option C is correct.

`f(x) = 2((1)/(6))^x`

Explanation:

Exponential function is given by:

`f(x) = ab^x` where a is the initial value and b is the growth factor.

• If b >1 , then the function is exponential growth function.

• if 0<b<1 , then the function is exponential decay function.

Vertically Stretch:

A function f(x) = kg(x)

• if |k|<1, then the function is vertically compression

• if |k|> 1, then the function is vertically stretch.

From the given options only option C is correct, i.,e
`f(x) = 2((1)/(6))^x`

As

`b = (1)/(6) < 1`

`|k| = 2 > 1`

⇒the function
`f(x) = 2((1)/(6))^x` could be stretch of the exponential decay function.