Question

Which function is nonlinear?(1 point)
Responses

y=8⋅2x−9
𝑦
=
8
⋅
2
𝑥
−
9
y is equal to 8 times 2 x minus 9

y=5.2 (7.1)x
𝑦
=
5.2

(
7.1
)
𝑥
y is equal to 5 point 2 times 7 point 1 to the x th power

y=12x+8
𝑦
=
12
𝑥
+
8
y is equal to 12 x plus 8

y=58x

Answer 1

you have to choose one

Answer 2

To determine which function is nonlinear, let's analyze each of the given functions:

1. **\( y = 8 \cdot 2^x - 9 \)**: This function involves an exponential term \( 2^x \), which makes it nonlinear.

2. **\( y = 5.2 \cdot (7.1)^x \)**: Similar to the first function, this one also has an exponential term \( (7.1)^x \), indicating that it is also nonlinear.

3. **\( y = 12x + 8 \)**: This is a linear function; it follows the form of a linear equation \( y = mx + b \).

4. **\( y = 58x \)**: This function is also linear, in the form \( y = mx \).

Based on this analysis, the nonlinear functions are:

- **\( y = 8 \cdot 2^x - 9 \)**
- **\( y = 5.2 \cdot (7.1)^x \)**

Therefore, the functions that are nonlinear are the first and second ones.