if f(x) is a linear function such that f(2)=5 and f(4)=13,f(x)=?

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if f(x) is a linear function such that f(2)=5 and f(4)=13,f(x)=?
if f(x) is a linear function such that f(2)=5 and f(4)=13,f(x)=?

if f(x) is a linear function such that f(2)=5 and f(4)=13,f(x)=?
假设 f(x)是一个线性函数,且 f(2)=5 ,f(4)=13,求函数 f(x)解析式;
设f(x)=kx+b,代入 f(2)=5 ,f(4)=13得:
5=2k+b
13=4k+b
解得:k=4,b= -3
∴f(x)=4x-3

线性函数(linear function)
设为y=kx+b 代入f(2)=5 and f(4)=13,
2k+b=5 4k+b=13 k=4 b=-3
f(x)=4x-3

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