Piecewise Function Models, and Curve Approximations
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- Say we approximate the function f(x)=x2f(x) = x^2f(x)=x2 using a piecewise linear function ggg. For all integers kkk, the approximation ggg connects the points (k,f(k))(k, f(k))…
- Define a piecewise step function as follows: For every k∈Zk \in \mathbb{Z}k∈Z (integers), if x∈[2k,2k+1)x \in [2^k, 2^{k+1})x∈[2k,2k+1) then f(x)=kf(x) = kf(x)=k. If x≤0x \le 0x…
- Let b>1b > 1b>1. Say we approximate the function f(x)=bxf(x) = b^xf(x)=bx using a piecewise linear function ggg. For all integers kkk, the approximation ggg connects the points …