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函数的组合（续）
我们怎样通过对给定函数作加、减、乘、除来构造新函数？
1. Piecewise functions
Piecewise functions
2. Summary
Summary
3. Piecewise function values
For p(x) = -(x+2)^2 + 2 when x < 0 and (1/2)(x-2)^2 + 1 when x >= 0, what is p(-2)?
4. Zeros and y-intercept of a piecewise function
For the same p, where are its zeros and its y-intercept?
5. Sketching a two-piece parabola
What does the graph of p consist of, and how do you recover a piecewise formula from such a graph?
6. Combining two linear functions
With r(t) = 2t - 3 and s(t) = 5 - 3t, what is (s o r)(2)?
7. Reading piecewise formulas from graphs
Two piecewise graphs are given without formulas. What is the correct way to combine their information?
8. Distance, velocity and time for a triathlete
A swimmer covers 2.4 miles at 2.5 mph. Using d = v t, when does the swim end?
9. Function addition is pointwise
Adding two functions means adding their output values at each input.