Question
Which function is nonlinear?(1 point)
Responses
y=12x+8
y is equal to 12 x plus 8
y=5.2 (7.1)x
y is equal to 5 point 2 times 7 point 1 to the x th power
y=8⋅2x−9
y is equal to 8 times 2 x minus 9
y=5/8x
Responses
y=12x+8
y is equal to 12 x plus 8
y=5.2 (7.1)x
y is equal to 5 point 2 times 7 point 1 to the x th power
y=8⋅2x−9
y is equal to 8 times 2 x minus 9
y=5/8x
Answers
GPT-4o mini
To determine which function is nonlinear, we can analyze each option:
1. **y = 12x + 8**: This is a linear function because it can be expressed in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
2. **y = 5.2(7.1)^x**: This function is nonlinear because it involves an exponential expression, \( 7.1^x \).
3. **y = 8⋅2x − 9**: This function is also nonlinear due to the term \( 2^x \), which is exponential.
4. **y = (5/8)x**: This is a linear function because it follows the format of \( y = mx \).
Based on this analysis, the nonlinear functions are:
- **y = 5.2(7.1)^x**
- **y = 8⋅2^x − 9**
If you are looking for just one answer, you could select either of the first two, but generally, **y = 5.2(7.1)^x** is often highlighted in contexts asking specifically for an example of an exponential growth function, making it a reasonable choice.
1. **y = 12x + 8**: This is a linear function because it can be expressed in the form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept.
2. **y = 5.2(7.1)^x**: This function is nonlinear because it involves an exponential expression, \( 7.1^x \).
3. **y = 8⋅2x − 9**: This function is also nonlinear due to the term \( 2^x \), which is exponential.
4. **y = (5/8)x**: This is a linear function because it follows the format of \( y = mx \).
Based on this analysis, the nonlinear functions are:
- **y = 5.2(7.1)^x**
- **y = 8⋅2^x − 9**
If you are looking for just one answer, you could select either of the first two, but generally, **y = 5.2(7.1)^x** is often highlighted in contexts asking specifically for an example of an exponential growth function, making it a reasonable choice.