Which ordered pairs lie on the graph of the exponential function f(x)=128(0.5)x ?Select each correct answer. (0,1) (1,64) (3,16) (8,0.5)
Accepted Solution
A:
Applying the numeric values, it is found that these following ordered pairs lie on the graph of the function [tex]f(x) = 128(0.5)^x[/tex]:(1,64), (3,16) and (8,0.5).Verifying if point (0,1) lies on the graph:[tex]f(0) = 128(0.5)^0 = 128(1) = 128[/tex]Since [tex]f(0) \neq 1[/tex], point (0,1) does not lie on the graph of the function.Now, for point (1,64):[tex]f(1) = 128(0.5)^1 = 64[/tex]Since [tex]f(1) = 64[/tex], point (1,64) lies on the graph of the function.For point (3,16):[tex]f(3) = 128(0.5)^3 = \frac{128}{8} = 16[/tex]Since [tex]f(3) = 16[/tex], point (3,16) lies on the graph of the function.Finally, for point (8,0.5):[tex]f(8) = 128(0.5)^8 = \frac{128}{256} = 0.5[/tex]Since [tex]f(8) = 256[/tex], point (8,0.5) lies on the graph of the function.A similar problem is given at