Graph the function y=5(14)x

Question

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

(−2,0.45)
(
−
2
,
0.45
)
, (−1,0.67)
(
−
1

Answer 1

To complete the ordered pairs, we need to compute the value of \( y \) for each given \( x \) in the function \( y = 5(14)^x \).

1. For \( x = -2 \): \[ y = 5(14)^{-2} = 5 \cdot \frac{1}{14^2} = 5 \cdot \frac{1}{196} = \frac{5}{196} \approx 0.0255 \] \[ \text{Ordered Pair: } (-2, 0.0255) \]

2. For \( x = -1 \): \[ y = 5(14)^{-1} = 5 \cdot \frac{1}{14} \approx 5 \cdot 0.07143 \approx 0.3571 \] \[ \text{Ordered Pair: } (-1, 0.3571) \]

3. For \( x = 0 \): \[ y = 5(14)^{0} = 5 \cdot 1 = 5 \] \[ \text{Ordered Pair: } (0, 5) \]

4. For \( x = 1 \): \[ y = 5(14)^{1} = 5 \cdot 14 = 70 \] \[ \text{Ordered Pair: } (1, 70) \]

Now we can summarize the ordered pairs:

• \( (-2, 0.0255) \)
• \( (-1, 0.3571) \)
• \( (0, 5) \)
• \( (1, 70) \)

Therefore, the complete set of ordered pairs is:

\[ (-2, 0.0255), (-1, 0.3571), (0, 5), (1, 70) \]