Question

Graph the function y= -2(8^). compare the ordered pairs for the x-values of 0,1,2, and 3 by finding the y-values.
A: (0,), (1, -16) (2, -32) and (3, -48)
B: (,2), (1,66), (2, 128) and (3, 1024)
C:(0,8), (1,16), (2,32) and (3,64)

Answer 1

It looks like there might be a small error in the function you've written down. The expression \(y = -2(8^)\) needs to have an exponent. Assuming you meant \(y = -2(8^x)\), I will calculate the y-values for the x-values of 0, 1, 2, and 3.

The function would then be:
\[ y = -2(8^x) \]

Let's calculate the corresponding y-values:

1. **For x = 0:**
\[
y = -2(8^0) = -2(1) = -2
\]
So, the ordered pair is (0, -2).

2. **For x = 1:**
\[
y = -2(8^1) = -2(8) = -16
\]
So, the ordered pair is (1, -16).

3. **For x = 2:**
\[
y = -2(8^2) = -2(64) = -128
\]
So, the ordered pair is (2, -128).

4. **For x = 3:**
\[
y = -2(8^3) = -2(512) = -1024
\]
So, the ordered pair is (3, -1024).

Now, compiling these ordered pairs gives us:
- (0, -2)
- (1, -16)
- (2, -128)
- (3, -1024)

Considering the options provided:
A: (0, -2), (1, -16), (2, -32), and (3, -48) — This is partially correct, but the y-values after x=1 do not match our calculations.
B: (0, 2), (1, 66), (2, 128), and (3, 1024) — This does not match.
C: (0, 8), (1, 16), (2, 32), and (3, 64) — This does not match.

None of the options A, B, or C matches the values we calculated for the function \(y = -2(8^x)\). If you could clarify the function or the options, I would be happy to assist you further!