4. Plot the curve of the function y(x) = x3 - 12x + 13x - 4 in MATLAB, given x = 0:0.01:10.

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**Exercise 4: Plotting a Function Curve in MATLAB**

Objective: Plot the curve of the function \( y(x) = x^3 - 12x^2 + 13x - 4 \).

Instructions:

1. **Function Definition:**
   - Consider the polynomial function \( y(x) = x^3 - 12x^2 + 13x - 4 \).

2. **Variable Range:**
   - The variable \( x \) is defined over the range from 0 to 10 with increments of 0.01, denoted as \( x = 0:0.01:10 \).

3. **Tools and Environment:**
   - This task requires plotting in MATLAB, a high-performance language for technical computing.

4. **MATLAB Code Example:**
   ```matlab
   % Define the range for x
   x = 0:0.01:10;
   
   % Define the function y(x)
   y = x.^3 - 12*x.^2 + 13*x - 4;
   
   % Plot the function
   plot(x, y);
   xlabel('x');
   ylabel('y(x)');
   title('Plot of y(x) = x^3 - 12x^2 + 13x - 4');
   grid on;
   ```

5. **Expected Outcome:**
   - The graph should illustrate how the function \( y(x) \) behaves over the specified range of \( x \). 
   - Look for specific characteristics such as turning points and intersections with axes.

6. **Graph Features:**
   - **X-axis:** Represents the values of \( x \) from 0 to 10.
   - **Y-axis:** Represents the computed values of \( y(x) \).
   - A curve representing the polynomial equation.

By plotting this function, you will be able to visualize the behavior and key features of the polynomial curve over the specified range.
Transcribed Image Text:**Exercise 4: Plotting a Function Curve in MATLAB** Objective: Plot the curve of the function \( y(x) = x^3 - 12x^2 + 13x - 4 \). Instructions: 1. **Function Definition:** - Consider the polynomial function \( y(x) = x^3 - 12x^2 + 13x - 4 \). 2. **Variable Range:** - The variable \( x \) is defined over the range from 0 to 10 with increments of 0.01, denoted as \( x = 0:0.01:10 \). 3. **Tools and Environment:** - This task requires plotting in MATLAB, a high-performance language for technical computing. 4. **MATLAB Code Example:** ```matlab % Define the range for x x = 0:0.01:10; % Define the function y(x) y = x.^3 - 12*x.^2 + 13*x - 4; % Plot the function plot(x, y); xlabel('x'); ylabel('y(x)'); title('Plot of y(x) = x^3 - 12x^2 + 13x - 4'); grid on; ``` 5. **Expected Outcome:** - The graph should illustrate how the function \( y(x) \) behaves over the specified range of \( x \). - Look for specific characteristics such as turning points and intersections with axes. 6. **Graph Features:** - **X-axis:** Represents the values of \( x \) from 0 to 10. - **Y-axis:** Represents the computed values of \( y(x) \). - A curve representing the polynomial equation. By plotting this function, you will be able to visualize the behavior and key features of the polynomial curve over the specified range.
Expert Solution
Step 1
x = 0 : 0.01 : 10;
y = x.^3 - 12*x.^2 +13*x -4;
plot(x,y)
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