Question

Graph the function y=5(1/4)^(x) . Complete the ordered pairs for the x-values of −2 , −1 , 0, and 1 by finding the y-values.(1 point)
Responses

(−2,−2.5) , (1,1.25) , (0,0) and (1,1.2)

left parenthesis negative 2 comma negative 2.5 right parenthesis , left parenthesis 1 comma 1.25 right parenthesis , left parenthesis 0 comma 0 right parenthesis and left parenthesis 1 comma 1.2 right parenthesis

(−2,80) , (−1,20) , (0,5) , and (1,1.25)

left parenthesis negative 2 comma 80 right parenthesis , left parenthesis negative 1 comma 20 right parenthesis , left parenthesis 0 comma 5 right parenthesis , and left parenthesis 1 comma 1.25 right parenthesis

(−2,0.45) , (−1,0.67) , (0,1) , and (1,1.50)

left parenthesis negative 2 comma 0.45 right parenthesis , left parenthesis negative 1 comma 0.67 right parenthesis , left parenthesis 0 comma 1 right parenthesis , and left parenthesis 1 comma 1.50 right parenthesis

(−2,−2.99) , (−1,−1.49) , (0,0) , and (1,1.49)

left parenthesis negative 2 comma negative 2.99 right parenthesis , left parenthesis negative 1 comma negative 1.49 right parenthesis , left parenthesis 0 comma 0 right parenthesis , and left parenthesis 1 comma 1.49 right parenthesis

Answer 1

Compute y = 5(1/4)^x:

- x = -2: (1/4)^(-2) = 4^2 = 16 → y = 5·16 = 80
- x = -1: (1/4)^(-1) = 4 → y = 5·4 = 20
- x = 0: (1/4)^0 = 1 → y = 5·1 = 5
- x = 1: (1/4)^1 = 1/4 → y = 5·1/4 = 1.25

Ordered pairs: (-2, 80), (-1, 20), (0, 5), (1, 1.25).