Question

What function is represented below?

Answer 1

Answer:

The possible function is $f(x)=(\frac{1}{4})^{x+2}$

A is correct.

Step-by-step explanation:

The graph begins in the II quadrant and decreases quickly while crossing the ordered pair (-2,1).

When the graph enters the I quadrant, it begins to decrease slowly as it approaches the x-axis.

It is exponential decay function.

$f(x)=ab^x$

If 0<b<1 then decay.

According to option, possible function:

$f(x)=(\frac{1}{4})^{x+2}$

1/4 <1 , Decay function

We are given a passing point (-2,1)

If we put (-2,1) into f(x). It will satisfy.

Hence, The possible function is $f(x)=(\frac{1}{4})^{x+2}$

Answer 2

f(x) = 1/4 to the power of x + 2= 627
f(x) = 1/4 to the power of x + 2= same thing as the one above
f(x) = 1/4 to the power of x - 2= 623
f(x) = 1/4 to the power of x − 2= same thing as the one above