已知函数y={2x^3+4 x<=4;5x^6-7 4<x<8;8x+9 x>=8},如何用Maltab编写一个程序用于计算上述方程
时间: 2024-02-15 11:05:26 浏览: 106
可以按照以下步骤编写程序:
1. 定义符号变量x和y:`syms x y`
2. 定义函数y的三个部分:`y1 = 2*x^3 + 4; y2 = 5*x^6 - 7; y3 = 8*x + 9;`
3. 定义函数y在不同区间的取值:
```
y1_val = subs(y1, x, x(x<=4));
y2_val = subs(y2, x, x(4<x&x<8));
y3_val = subs(y3, x, x(x>=8));
```
4. 将三个部分组合成一个函数:
```
y_val = [y1_val y2_val y3_val];
y_val = reshape(y_val, 1, []);
```
5. 定义x的取值范围:
`x_val = -10:0.1:10;`
6. 计算y的取值:
`y_val = subs(y_val, x, x_val);`
7. 绘制函数图像:
`plot(x_val, y_val);`
完整程序如下:
```
syms x y
y1 = 2*x^3 + 4;
y2 = 5*x^6 - 7;
y3 = 8*x + 9;
y1_val = subs(y1, x, x(x<=4));
y2_val = subs(y2, x, x(4<x&x<8));
y3_val = subs(y3, x, x(x>=8));
y_val = [y1_val y2_val y3_val];
y_val = reshape(y_val, 1, []);
x_val = -10:0.1:10;
y_val = subs(y_val, x, x_val);
plot(x_val, y_val);
```
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