Respuesta :
B
when x=0, f(3)=3(1/4)^0
any number to the 0th power is 1, so f(3)=3*1=3
A, C are also correct. (1/4)^-2=16, (1/4)^2=1/16
when x=0, f(3)=3(1/4)^0
any number to the 0th power is 1, so f(3)=3*1=3
A, C are also correct. (1/4)^-2=16, (1/4)^2=1/16
Answer:
A. (−2,48)
B. (0,3)
C. (2,3/16)
Step-by-step explanation:
The given function is
[tex]f(x)=3(\frac{1}{4} )^{x}[/tex]
To find those ordered pairs that lie on the graph, we need to evaluate each of them
A. (−2,48)
[tex]f(-2)=3(\frac{1}{4} )^{-2}=3(4)^{2}=3(16)=48[/tex]
This pair lies on the graph.
B. (0,3)
[tex]f(0)=3(\frac{1}{4} )^{0}=3(1)=3[/tex]
This pair lies on the graph.
C. (2,3/16)
[tex]f(2)=3(\frac{1}{4} )^{2}=3(\frac{1}{16} )=\frac{3}{16}[/tex]
This pair also lies on the graph.
D. (12,0)
[tex]f(12)=3(\frac{1}{4} )^{12}=\frac{3}{16,777,216}[/tex]
This pair doesn't lie on the graph, because it doesn't satisfy the exponential function.
Therefore, the right asnwer are A, B and C.
