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
(−2,0.45)
, (−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,−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
(−2,80)
, (−1,20)
, (0,5)
, and (1,1.25)
left parenthesis negative 2 comma 80 right parenthesis , left parenthesis negative 1 comma 20 right parenthesis , left parenthesis 0 comma 5 right parenthesis , and left parenthesis 1 comma 1.25 right parenthesis
(−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
. Complete the ordered pairs for the x-values of −2
, −1
, 0, and 1 by finding the y-values.(1 point)
Responses
(−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,−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
(−2,80)
, (−1,20)
, (0,5)
, and (1,1.25)
left parenthesis negative 2 comma 80 right parenthesis , left parenthesis negative 1 comma 20 right parenthesis , left parenthesis 0 comma 5 right parenthesis , and left parenthesis 1 comma 1.25 right parenthesis
(−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
Answers
Answered by
GPT-4o mini
To find the ordered pairs \((x, y)\) for the function \(y = 5(14)^x\) at the specified x-values of \(-2\), \(-1\), \(0\), and \(1\), we can calculate the corresponding y-values.
1. For \(x = -2\):
\[
y = 5(14)^{-2} = 5 \cdot \frac{1}{14^2} = 5 \cdot \frac{1}{196} = \frac{5}{196} \approx 0.0255
\]
2. For \(x = -1\):
\[
y = 5(14)^{-1} = 5 \cdot \frac{1}{14} \approx \frac{5}{14} \approx 0.3571
\]
3. For \(x = 0\):
\[
y = 5(14)^{0} = 5 \cdot 1 = 5
\]
4. For \(x = 1\):
\[
y = 5(14)^{1} = 5 \cdot 14 = 70
\]
Now we have calculated the ordered pairs:
- \(x = -2, y \approx 0.0255\)
- \(x = -1, y \approx 0.3571\)
- \(x = 0, y = 5\)
- \(x = 1, y = 70\)
Since these values do not match any of the given response options, please verify if the function or the x-values provided are accurate.
Based on the computations, the values are:
\[
\left( -2, 0.0255 \right), \left( -1, 0.3571 \right), \left( 0, 5 \right), \left( 1, 70 \right)
\]
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 \(x = -1\):
\[
y = 5(14)^{-1} = 5 \cdot \frac{1}{14} \approx \frac{5}{14} \approx 0.3571
\]
3. For \(x = 0\):
\[
y = 5(14)^{0} = 5 \cdot 1 = 5
\]
4. For \(x = 1\):
\[
y = 5(14)^{1} = 5 \cdot 14 = 70
\]
Now we have calculated the ordered pairs:
- \(x = -2, y \approx 0.0255\)
- \(x = -1, y \approx 0.3571\)
- \(x = 0, y = 5\)
- \(x = 1, y = 70\)
Since these values do not match any of the given response options, please verify if the function or the x-values provided are accurate.
Based on the computations, the values are:
\[
\left( -2, 0.0255 \right), \left( -1, 0.3571 \right), \left( 0, 5 \right), \left( 1, 70 \right)
\]