Question

Graph the function y=5(14)x
. Complete the ordered pairs for the x-values of −2
, −1
, 0, and 1 by finding the y-values.(1 point)
Responses

(−2,−2.99)
, (−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

(−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,−2.5)
, (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)

Answer 1

The function is y = 5(1/4)^x. Evaluate:

- x = -2: y = 5(1/4)^(-2) = 5·4^2 = 5·16 = 80 → (-2, 80)
- x = -1: y = 5(1/4)^(-1) = 5·4 = 20 → (-1, 20)
- x = 0: y = 5(1/4)^0 = 5·1 = 5 → (0, 5)
- x = 1: y = 5(1/4)^1 = 5·0.25 = 1.25 → (1, 1.25)

So the correct list is (−2, 80), (−1, 20), (0, 5), (1, 1.25).