Question

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

(−2,−2.5), (1,1.25) and (1,1.2).

(−2,−2.99), (−1,−1.49), and (1,1.49).

(−2,0.45), (−1,0.67), and (0,1),and (1,1.25).
(-2,80),(-1,20),(0,5)and(1,1.25).

Answer 1

To complete the ordered pairs for the function \( y = 5(1/4)^x \), we need to find the corresponding \( y \)-values for the given \( x \)-values: \(-2\), \(0\), and \(1\).

1. For \( x = -2 \):
\[
y = 5(1/4)^{-2} = 5 \cdot (4/1)^2 = 5 \cdot 16 = 80
\]

2. For \( x = 0 \):
\[
y = 5(1/4)^0 = 5 \cdot 1 = 5
\]

3. For \( x = 1 \):
\[
y = 5(1/4)^1 = 5 \cdot (1/4) = 5/4 = 1.25
\]

Now we can compile the ordered pairs:
- For \( x = -2 \), \( y = 80 \): \((-2, 80)\)
- For \( x = 0 \), \( y = 5 \): \((0, 5)\)
- For \( x = 1 \), \( y = 1.25 \): \((1, 1.25)\)

Thus, the complete ordered pairs are:
\((-2, 80)\), \((0, 5)\), and \((1, 1.25)\).

The correct answer is:
**(-2, 80), (0, 5), and (1, 1.25).**