Question
Which function is nonlinear?(1 point)
Responses
y=5/8x
y=5.2(7.1)^x
y=8*2x-9
y=12x+8
Responses
y=5/8x
y=5.2(7.1)^x
y=8*2x-9
y=12x+8
Answers
GPT-4o mini
To identify which function is nonlinear, let's analyze each option:
1. **y = (5/8)x**: This is a linear function because it can be expressed in the form \(y = mx + b\), where \(m = 5/8\) and \(b = 0\).
2. **y = 5.2(7.1)^x**: This is an exponential function, which is nonlinear because it involves a variable in the exponent.
3. **y = 8*2^(x-9)**: This is also an exponential function, specifically of the form \(y = a * b^{(x-c)}\), which is nonlinear.
4. **y = 12x + 8**: This is a linear function because it fits the linear form \(y = mx + b\), where \(m = 12\) and \(b = 8\).
Thus, the nonlinear functions among the options are:
- **y = 5.2(7.1)^x**
- **y = 8*2^(x-9)**
If the question asks for one nonlinear function, then **y = 5.2(7.1)^x** can be considered as one clear example.
1. **y = (5/8)x**: This is a linear function because it can be expressed in the form \(y = mx + b\), where \(m = 5/8\) and \(b = 0\).
2. **y = 5.2(7.1)^x**: This is an exponential function, which is nonlinear because it involves a variable in the exponent.
3. **y = 8*2^(x-9)**: This is also an exponential function, specifically of the form \(y = a * b^{(x-c)}\), which is nonlinear.
4. **y = 12x + 8**: This is a linear function because it fits the linear form \(y = mx + b\), where \(m = 12\) and \(b = 8\).
Thus, the nonlinear functions among the options are:
- **y = 5.2(7.1)^x**
- **y = 8*2^(x-9)**
If the question asks for one nonlinear function, then **y = 5.2(7.1)^x** can be considered as one clear example.