Question
Which function is nonlinear?(1 point)
Responses
y=58x
y is equal to 5 eighths x
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=12x+8
Responses
y=58x
y is equal to 5 eighths x
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=12x+8
Answers
GPT-4o mini
To determine which function is nonlinear, we can analyze each given function:
1. **y = 58x**: This is a linear function in the form of y = mx, where m is a constant (58).
2. **y = 5.2 (7.1)x**: This is an exponential function because it can be rewritten as y = 5.2 * (7.1^x), where the variable x is in the exponent.
3. **y = 8⋅2x−9**: This can be rewritten as y = 8 * 2^(x - 9). This is also an exponential function due to the variable x being in the exponent.
4. **y = 12x + 8**: This is another linear function in the form y = mx + b, where m = 12 and b = 8.
Based on the analysis, the nonlinear functions are both **y = 5.2 (7.1)x** and **y = 8⋅2x−9**, but since the question asks for which function is nonlinear specifically, the most straightforward answer would be:
**y = 5.2 (7.1)x**, as it clearly identifies itself as an exponential function. However, note that both the second and third formulas represent nonlinear relationships.
1. **y = 58x**: This is a linear function in the form of y = mx, where m is a constant (58).
2. **y = 5.2 (7.1)x**: This is an exponential function because it can be rewritten as y = 5.2 * (7.1^x), where the variable x is in the exponent.
3. **y = 8⋅2x−9**: This can be rewritten as y = 8 * 2^(x - 9). This is also an exponential function due to the variable x being in the exponent.
4. **y = 12x + 8**: This is another linear function in the form y = mx + b, where m = 12 and b = 8.
Based on the analysis, the nonlinear functions are both **y = 5.2 (7.1)x** and **y = 8⋅2x−9**, but since the question asks for which function is nonlinear specifically, the most straightforward answer would be:
**y = 5.2 (7.1)x**, as it clearly identifies itself as an exponential function. However, note that both the second and third formulas represent nonlinear relationships.