Question

Graph the function y=−2(8x)
. Complete the ordered pairs for the x-values of 0, 1, 2, and 3 by finding the y-values.(1 point)
Responses

(0,8)
, (1,16)
, (2,32)
and (3,64)
left parenthesis 0 comma 8 right parenthesis , left parenthesis 1 comma 16 right parenthesis , left parenthesis 2 comma 32 right parenthesis and left parenthesis 3 comma 64 right parenthesis

(0,0)
, (1,−16)
, (2,−32)
and (3,−48)
left parenthesis 0 comma 0 right parenthesis , left parenthesis 1 comma negative 16 right parenthesis , left parenthesis 2 comma negative 32 right parenthesis and left parenthesis 3 comma negative 48 right parenthesis

(0,2)
, (1,16)
, (2,128)
and (3,1024)
left parenthesis 0 comma 2 right parenthesis , left parenthesis 1 comma 16 right parenthesis , left parenthesis 2 comma 128 right parenthesis and left parenthesis 3 comma 1,024 right parenthesis

(0,−2)
, (1,−16)
, (2,−128)
and (3,−1024)

Answer 1

To find the y-values for the function \( y = -2(8^x) \), we will calculate the y-values for x-values of 0, 1, 2, and 3.

1. For \( x = 0 \):
\[
y = -2(8^0) = -2(1) = -2
\]

2. For \( x = 1 \):
\[
y = -2(8^1) = -2(8) = -16
\]

3. For \( x = 2 \):
\[
y = -2(8^2) = -2(64) = -128
\]

4. For \( x = 3 \):
\[
y = -2(8^3) = -2(512) = -1024
\]

Now, we can list the ordered pairs:

- For \( x = 0 \), \( y = -2 \): \((0, -2)\)
- For \( x = 1 \), \( y = -16 \): \((1, -16)\)
- For \( x = 2 \), \( y = -128 \): \((2, -128)\)
- For \( x = 3 \), \( y = -1024 \): \((3, -1024)\)

The correct response is:
\((0, -2), (1, -16), (2, -128), (3, -1024)\)