Respuesta :
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
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
Answer:
The possible function is [tex]f(x)=(\frac{1}{4})^{x+2}[/tex]
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.
[tex]f(x)=ab^x[/tex]
If 0<b<1 then decay.
According to option, possible function:
[tex]f(x)=(\frac{1}{4})^{x+2}[/tex]
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 [tex]f(x)=(\frac{1}{4})^{x+2}[/tex]