Question
Which function is nonlinear?(1 point)
Responses
y=5.2 (7.1)x
y=5/8x
y=8⋅2x−9
y=12x+8
Responses
y=5.2 (7.1)x
y=5/8x
y=8⋅2x−9
y=12x+8
Answers
GPT-4o mini
To determine which function is nonlinear, we can look at the equations provided:
1. \( y = 5.2 (7.1)^x \) - This is an exponential function because of the variable \( x \) being in the exponent.
2. \( y = \frac{5}{8} x \) - This is a linear function in the form of \( y = mx + b \).
3. \( y = 8 \cdot 2^{x - 9} \) - This is also an exponential function due to the variable \( x \) in the exponent.
4. \( y = 12x + 8 \) - This is a linear function in the form of \( y = mx + b \).
Based on these observations, the nonlinear functions are:
- \( y = 5.2 (7.1)^x \)
- \( y = 8 \cdot 2^{x - 9} \)
Thus, both options 1 and 3 are nonlinear. If you are looking for a single answer, you might want to select the first option provided:
**\( y = 5.2 (7.1)^x \)** (or alternatively, you could consider the one that is presented first in the list).
1. \( y = 5.2 (7.1)^x \) - This is an exponential function because of the variable \( x \) being in the exponent.
2. \( y = \frac{5}{8} x \) - This is a linear function in the form of \( y = mx + b \).
3. \( y = 8 \cdot 2^{x - 9} \) - This is also an exponential function due to the variable \( x \) in the exponent.
4. \( y = 12x + 8 \) - This is a linear function in the form of \( y = mx + b \).
Based on these observations, the nonlinear functions are:
- \( y = 5.2 (7.1)^x \)
- \( y = 8 \cdot 2^{x - 9} \)
Thus, both options 1 and 3 are nonlinear. If you are looking for a single answer, you might want to select the first option provided:
**\( y = 5.2 (7.1)^x \)** (or alternatively, you could consider the one that is presented first in the list).