**Identify linear and nonlinear functions :**

**What is linear function ?**

Linear functions are those whose graph is a straight line. A linear function has the following form. y = ax + b. A linear function has one independent variable and one dependent variable.

**What is non linear function ?**

Thus, the graph of a nonlinear function is not a line.Linear functions have a constant slope, so nonlinear functions have a slope that varies between points.

Algebraically, linear functions are polynomials with highest exponent equal to 1 or of the form y = c where c is constant.

**Example 1 :**

The graph shows a function. Is the function linear or nonlinear?

**Solution :**

Since the given graph is the straight line, it is linear function.

**Example 2 :**

The graph shows a function. Is the function linear or nonlinear?

**Solution :**

Since the given graph is not the straight line, it is not linear function.

Hence it is nonlinear function.

**Example 3 :**

The graph shows a function. Is the function linear or nonlinear?

**Solution :**

Since the given graph is not the straight line, it is not linear function.

Hence it is nonlinear function.

**Example 4 :**

The graph shows a function. Is the function linear or nonlinear?

**Solution :**

Since the given graph is the straight line, it is linear function.

**Example 5 :**

The graph shows a function. Is the function linear or nonlinear?

**Solution :**

Since the given graph is not the straight line, it is not linear function.

Hence it is nonlinear function.

**Example 6 :**

The graph shows a function. Is the function linear or nonlinear?

**Solution :**

Since the given graph is the straight line, it is linear function.

**Example 7 :**

The graph shows a function. Is the function linear or nonlinear?

**Solution :**

Since the given graph is not the straight line, it is not linear function.

Hence it is nonlinear function.

**Example 8 :**

The graph shows a function. Is the function linear or nonlinear?

**Solution :**

Since the given graph is the straight line, it is linear function.

- How to graph a linear function
- Finding the values form graph
- Writing equation from graph
- Proportional and non proportional graphs

After having gone through the stuff given above, we hope that the students would have understood "Identify linear and nonlinear functions".

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