If f(x) mx b, then for constants m 0 and b (the case m 0) For a given 0, let m ) Explain why this result implies that linear functions are continuous b lim f(x)

Question: If f(x) = mx + b, then for constants m 0 and b (the case m = 0). For a given > 0,

If f(x) = mx + b, then — та + b lim f(x) for constants m ≠ 0 and b (the case m = 0). For a given ε > 0, let δ = ε/|m|.) Explain why this result implies that linear functions are continuous.

+ b lim f(x)

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