Question

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

Answer 1

Answer:

Option C is correct.

$f(x) = 2(\frac{1}{6})^x$

Step-by-step 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 $f(x) = 2(\frac{1}{6})^x$

As

$b = \frac{1}{6} < 1$

$|k| = 2 > 1$

⇒the function $f(x) = 2(\frac{1}{6})^x$ could be stretch of the exponential decay function.

Answer 2

Answer:option c

Step-by-step explanation: