Question

Determine if each function is linear or nonlinear. Drag each function into a box to correctly classify it. A:y=2x^3 B:y = x + 5 C:y=x^2−3 D:5x + 5y = 25 y=x^2/2

Answer 1

Answer:

A:  Nonlinear; B:  Linear; C:  Nonlinear; D:  Linear; E:  Nonlinear

Step-by-step explanation:

In order for a function to be linear, the power of the variable x must be 1.

In function A, the power of x is 3; this makes the function cubic, not linear.

In function B, the power of x is 1; this makes the function linear.

In function C, the power of x is 2; this makes the function nonlinear.

In function D, the power of x is 1; this makes the function linear.

In function E, the power of x is 2; this makes the function nonlinear.

Answer 2

Linear functions are a straight line. Non-linear have a curve and an exponent higher than 1.

A) Non
B) Linear
C) Non
D) Both