Question
Which function is nonlinear?(1 point)
Responses
y=12x+8
y is equal to 12 x plus 8
y=58x
y is equal to 5 eighths x
y=8⋅2x−9
y is equal to 8 times 2 x minus 9
y=5.2 (7.1)x
Responses
y=12x+8
y is equal to 12 x plus 8
y=58x
y is equal to 5 eighths x
y=8⋅2x−9
y is equal to 8 times 2 x minus 9
y=5.2 (7.1)x
Answers
GPT-4o mini
To determine which of the functions is nonlinear, we can analyze them based on their mathematical forms:
1. **y = 12x + 8**: This is a linear function (it has the form y = mx + b).
2. **y = (5/8)x**: This is also a linear function (it has the form y = mx).
3. **y = 8⋅2^(x−9)**: This is a nonlinear function because it involves an exponential component (the variable x is in the exponent).
4. **y = 5.2(7.1)^x**: This is also a nonlinear function because it has a variable in the exponent.
Out of the options, **y = 8⋅2^(x−9)** and **y = 5.2(7.1)^x** are nonlinear functions. However, since you are looking for a single answer, just one of these two would suffice.
If we need to choose just one based on the provided options, let's go with:
**y = 8⋅2^(x−9)** as a representative nonlinear function.
1. **y = 12x + 8**: This is a linear function (it has the form y = mx + b).
2. **y = (5/8)x**: This is also a linear function (it has the form y = mx).
3. **y = 8⋅2^(x−9)**: This is a nonlinear function because it involves an exponential component (the variable x is in the exponent).
4. **y = 5.2(7.1)^x**: This is also a nonlinear function because it has a variable in the exponent.
Out of the options, **y = 8⋅2^(x−9)** and **y = 5.2(7.1)^x** are nonlinear functions. However, since you are looking for a single answer, just one of these two would suffice.
If we need to choose just one based on the provided options, let's go with:
**y = 8⋅2^(x−9)** as a representative nonlinear function.