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)
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
Pick the answer that is most right

Answer 1

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

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

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

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

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

Thus, the ordered pairs are approximately:
- \((-2, 0.0255)\)
- \((-1, 0.3571)\)
- \((0, 5)\)
- \((1, 70)\)

Based on the given options, the correct answer is not listed as all the calculations yield different \( y \) values from the options. If you are looking for closest values or had any error, double-check the function or options provided.