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,−2.5)
, (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

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

1 answer

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

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

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

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

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

Now, let's summarize the ordered pairs:

  • For \( x = -2 \): \( (−2, 0.0255) \)
  • For \( x = -1 \): \( (−1, 0.3571) \)
  • For \( x = 0 \): \( (0, 5) \)
  • For \( x = 1 \): \( (1, 70) \)

None of the provided options in your message accurately represent these values. If you are looking for a specific set of pairs from given options, please check those options as they don't match the calculations based on the provided function.