raph the function y=5(14)x

Question

. 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)

Answer 1

To find the ordered pairs for the function \( y = 5(14)^x \), we will evaluate the function at the specified \( x \)-values: \( -2, -1, 0, \) and \( 1 \).

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

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

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 can compile the ordered pairs:

• \( (-2, 0.0256) \)
• \( (-1, 0.3571) \)
• \( (0, 5) \)
• \( (1, 70) \)

None of the provided responses match these values. It seems that the function you provided doesn't correspond to the options given. If the function is indeed \( y = 5(14)^x \), the values we've calculated are the correct outputs for the specified inputs.