Question
Question:
"This table represent an exponential function."
Table Data:
x -3 -2 -1 0 1 2 3
y 1 0 -1 -2 -1 0 1
Export to Sheets
Possible Answers:
True
False
"This table represent an exponential function."
Table Data:
x -3 -2 -1 0 1 2 3
y 1 0 -1 -2 -1 0 1
Export to Sheets
Possible Answers:
True
False
Answers
GPT-4o mini
The statement "This table represents an exponential function" is **False**.
An exponential function has the general form \( y = a \cdot b^x \) where \( a \) and \( b \) are constants, and the output \( y \) changes in a way that each output is a constant multiple of the previous one as \( x \) increases or decreases.
In the provided table:
- The values of \( y \) are not consistent with an exponential growth or decay, because they do not increase or decrease multiplicatively as \( x \) changes.
- In fact, the \( y \) values are not even positive for all \( x \) (for example, \( y = -2 \) when \( x = 0 \)), which is not consistent with the characteristic traits of exponential functions.
Thus, the correct answer is **False**.
An exponential function has the general form \( y = a \cdot b^x \) where \( a \) and \( b \) are constants, and the output \( y \) changes in a way that each output is a constant multiple of the previous one as \( x \) increases or decreases.
In the provided table:
- The values of \( y \) are not consistent with an exponential growth or decay, because they do not increase or decrease multiplicatively as \( x \) changes.
- In fact, the \( y \) values are not even positive for all \( x \) (for example, \( y = -2 \) when \( x = 0 \)), which is not consistent with the characteristic traits of exponential functions.
Thus, the correct answer is **False**.