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

(−2,80)
, (−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,−2.99)
, (−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,−2.5)
, (1,1.25)
, (0,0)
and (1,1.2)

Answer 1

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

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

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

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

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

Now we have the points:
- 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 given choices match these computed ordered pairs. It seems there might have been an error in your options, or possibly a misunderstanding of the function being evaluated. The calculations show that the expected ordered pairs would be roughly:

1. \( (-2, 0.0255) \)
2. \( (-1, 0.3571) \)
3. \( (0, 5) \)
4. \( (1, 70) \)

If you have the correct function or any other specific details, please provide them for further assistance!