Graph the function y=5(14)x

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

1 answer

To find the ordered pairs for the function \( y = 5(14)^x \) for the given x-values of -2, -1, 0, and 1, we will calculate the corresponding y-values.

  1. For \( x = -2 \): \[ y = 5(14)^{-2} = 5 \cdot \frac{1}{14^2} = 5 \cdot \frac{1}{196} = \frac{5}{196} \approx 0.0255 \] So, the ordered pair is \( (-2, 0.0255) \).

  2. For \( x = -1 \): \[ y = 5(14)^{-1} = 5 \cdot \frac{1}{14} = \frac{5}{14} \approx 0.3571 \] So, the ordered pair is \( (-1, 0.3571) \).

  3. For \( x = 0 \): \[ y = 5(14)^0 = 5 \cdot 1 = 5 \] So, the ordered pair is \( (0, 5) \).

  4. For \( x = 1 \): \[ y = 5(14)^1 = 5 \cdot 14 = 70 \] So, the ordered pair is \( (1, 70) \).

Summary of Ordered Pairs:

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

These represent the points you would plot on the graph of the function \( y = 5(14)^x \).