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,−2.5) , (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,−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 (−2,80) , (−1,20) , (0,5) , and (1,1.25...

Answer 1

To find the y-values for the function \( y = 5(14)^x \) at the given x-values of \(-2\), \(-1\), \(0\), and \(1\), we can substitute each x-value into the function.

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

2. For \( x = -1 \):
\[
y = 5(14)^{-1} = 5 \cdot \frac{1}{14} \approx 5 \cdot 0.0714 \approx 0.3571
\]

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

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

Thus, the ordered pairs for the function \( y = 5(14)^x \) at the specified x-values are:
- For \( x = -2 \), \( y \approx 0.0255 \) -> ( -2, 0.0255 )
- For \( x = -1 \), \( y \approx 0.3571 \) -> ( -1, 0.3571 )
- For \( x = 0 \), \( y = 5 \) -> ( 0, 5 )
- For \( x = 1 \), \( y = 70 \) -> ( 1, 70 )

None of the given choices in the question match these calculations. Please check the options or calculations.