Question
Which function is nonlinear?(1 point)
Responses
y is equal to 5 eighths x
y is equal to 5 point 2 times 7 point 1 to the x th power
y is equal to 8 times 2 x minus 9
y=12x+8
Responses
y is equal to 5 eighths x
y is equal to 5 point 2 times 7 point 1 to the x th power
y is equal to 8 times 2 x minus 9
y=12x+8
Answers
GPT-4o mini
To determine which function is nonlinear, we can review 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 a nonlinear function because it contains an exponential term (7.1^x), which is not in the form of \(y = mx + b\).
3. **y = 8(2x - 9)** - This can be simplified to a linear form, \(y = 16x - 72\), which is linear.
4. **y = 12x + 8** - This is also a linear function since it follows the form \(y = mx + b\) where \(m = 12\) and \(b = 8\).
So, the nonlinear function from the options provided is:
**y = 5.2 * 7.1^x**.
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 a nonlinear function because it contains an exponential term (7.1^x), which is not in the form of \(y = mx + b\).
3. **y = 8(2x - 9)** - This can be simplified to a linear form, \(y = 16x - 72\), which is linear.
4. **y = 12x + 8** - This is also a linear function since it follows the form \(y = mx + b\) where \(m = 12\) and \(b = 8\).
So, the nonlinear function from the options provided is:
**y = 5.2 * 7.1^x**.