Answer:
y = x² + 2
y = -5/x
Explanation:
Linear & Nonlinear Definition:
- Linear is something that is associated with a straight line such as linear equation or function. That means the highest degree of equation has to be 1 or only x.
- Nonlinear is something that does not form a line graph such as parabola, cubic, exponential, etc.
From choices:
- Both y = 2x+7 and y = 6(x-1) are linear because they have highest degree as 1 which is only x and these equations are known as linear function.
- However, both y = x²+2 and y = -5/x are nonlinear because y = x²+2 forms parabola which is a curve graph and also has highest degree of 2.
- As for y = -5/x, this is called fractional function which also forms curve graph and the degree of this equation is -1 via law of exponent.
Therefore, y = x²+2 and y = -5/x are nonlinear.