The Leading Coefficient Test is a mathematical tool used to deduce the end behavior of a polynomial function. It achieves this by examining the leading coefficient and the degree of the polynomial function. This test is instrumental in predicting whether the graph of the function will stretch upwards or downwards at each end. In this context, the degree is the highest power in the polynomial, while the leading coefficient is the number that corresponds to this degree.
| Topic | Problem | Solution |
|---|---|---|
| None | For the function $y=(x-8)(x+2)$, its $y$-intercep… | The y-intercept of a function is the point where the graph of the function intersects the y-axis. T… |
| None | \( \mathrm{Q} \) 函数图像 能描述函数图像的趋向 Let \( f(x)=p(x)… | 首先观察函数的定义，可以看出 f(x) 是由两个函数取“最小值”而得，即 f(x) = min{p(x), x^2-7x+12}。 |