Which ordered pairs lie on the graph of the exponential function f(x)=3(1/4)^x ? Select each correct answer. (−2,48) (0,3) (2,316) (12,0)
Accepted Solution
A:
Answer: Options 1 and 2Explanation:We nee to check which points are satisfying the given function [tex]f(x)=3(\frac{1}{4})^x[/tex]In case 1 we will pu x= -2 in given function we will get [tex]\frac{3}{1/16}[/tex]=48Hence, option 1 is correctIn case 2 we will put x=0 in given function we will get [tex]3(\frac{1}{4})^0=3[/tex] Hence, option 2 is correctIn case 3 we will put x=2 in given function we will get [tex]3(\frac{1}{4})^2= \frac{3}{16}[/tex]Hence, not satisfying the function so incorrectIn case 4 we will put x=12 in given function we will get [tex]3(\frac{1}{4}})^{12}[/tex][tex]=3(\frac{1}{16777216})\neq0[/tex]Hence, not satisfying the function so incorrect.