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)

Answer 1

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

1. For \( x = -2 \):
\[
y = 5(14)^{-2} = 5 \cdot \frac{1}{14^2} = 5 \cdot \frac{1}{196} = \frac{5}{196} \approx 0.0256
\]
So, the ordered pair is \( (-2, \frac{5}{196}) \).

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

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 \( (1, 70) \).

Now we can summarize the ordered pairs:
- For \( x = -2 \): \( (-2, \frac{5}{196}) \)
- For \( x = -1 \): \( (-1, \frac{5}{14}) \)
- For \( x = 0 \): \( (0, 5) \)
- For \( x = 1 \): \( (1, 70) \)

Thus, the completed ordered pairs are:
- \((-2, \frac{5}{196})\)
- \((-1, \frac{5}{14})\)
- \((0, 5)\)
- \((1, 70)\)