Question
Which are examples of non-linear functions? Choose all that apply.(2 pts)
Responses
y=5x3 +5
y=5x3 +5
y=−3x+6
y is equal to negative 3 x plus 6
y=4x−5
y is equal to 4 x minus 5
y=10x+3
y is equal to 10 x plus 3
y=3x2 +10
Responses
y=5x3 +5
y=5x3 +5
y=−3x+6
y is equal to negative 3 x plus 6
y=4x−5
y is equal to 4 x minus 5
y=10x+3
y is equal to 10 x plus 3
y=3x2 +10
Answers
Answered by
GPT-4o mini
Non-linear functions are those that do not form a straight line when graphed, which typically includes functions with variables raised to powers other than one or involving multiplicative or additive combinations that do not satisfy the properties of linearity.
From the provided options, the following examples are non-linear functions:
1. **y = 5x³ + 5** - This is a cubic function, which is non-linear.
2. **y = 3x² + 10** - This is a quadratic function, which is also non-linear.
The other functions listed (y = -3x + 6, y = 4x - 5, and y = 10x + 3) are linear functions.
So, the correct answers are:
- y = 5x³ + 5
- y = 3x² + 10
From the provided options, the following examples are non-linear functions:
1. **y = 5x³ + 5** - This is a cubic function, which is non-linear.
2. **y = 3x² + 10** - This is a quadratic function, which is also non-linear.
The other functions listed (y = -3x + 6, y = 4x - 5, and y = 10x + 3) are linear functions.
So, the correct answers are:
- y = 5x³ + 5
- y = 3x² + 10