Question
Which function is nonlinear?(1 point)
y=5.2 (7.1)x
y is equal to 5 point 2 times 7 point 1 to the x th power
y=58x
y is equal to 5 eighths x
y=12x+8
y is equal to 12 x plus 8
y=8⋅2x−9
y=5.2 (7.1)x
y is equal to 5 point 2 times 7 point 1 to the x th power
y=58x
y is equal to 5 eighths x
y=12x+8
y is equal to 12 x plus 8
y=8⋅2x−9
Answers
GPT-4o mini
To determine which function is nonlinear among the given options, we can analyze each function:
1. **y = 5.2 (7.1)^x**: This is an exponential function, as it involves a variable in the exponent. Therefore, it is nonlinear.
2. **y = (5/8)x**: This is a linear function, as it can be expressed in the form y = mx + b (where m = 5/8 and b = 0).
3. **y = 12x + 8**: This is also a linear function, in the standard form y = mx + b.
4. **y = 8 ⋅ 2^(x − 9)**: This is another exponential function because of the variable in the exponent. Therefore, it is also nonlinear.
The nonlinear functions in this case are the first and last one. However, if only one answer is required, the first function can be cited as the answer:
**y = 5.2 (7.1)^x** (nonlinear).
1. **y = 5.2 (7.1)^x**: This is an exponential function, as it involves a variable in the exponent. Therefore, it is nonlinear.
2. **y = (5/8)x**: This is a linear function, as it can be expressed in the form y = mx + b (where m = 5/8 and b = 0).
3. **y = 12x + 8**: This is also a linear function, in the standard form y = mx + b.
4. **y = 8 ⋅ 2^(x − 9)**: This is another exponential function because of the variable in the exponent. Therefore, it is also nonlinear.
The nonlinear functions in this case are the first and last one. However, if only one answer is required, the first function can be cited as the answer:
**y = 5.2 (7.1)^x** (nonlinear).