Consider the function f: R → R given by f(x) = 7x + 2 for all x € R. We wish to prove that f(x) is continuous at all points a € R. Given € > 0, we must find &> 0 such that for all h ER with h|

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Consider the function f: R → R given by f(x) = 7x + 2 for all x E R.
We wish to prove that f(x) is continuous at all points a € R.
Given € > 0, we must find > 0 such that for all h ER with h| <d, we
have f(a+h)-f(a)| < €.
Which of the following choices of & work?
(Select all that apply:
Select one or more:
O €/7
O 7€
O €/10
Transcribed Image Text:Consider the function f: R → R given by f(x) = 7x + 2 for all x E R. We wish to prove that f(x) is continuous at all points a € R. Given € > 0, we must find > 0 such that for all h ER with h| <d, we have f(a+h)-f(a)| < €. Which of the following choices of & work? (Select all that apply: Select one or more: O €/7 O 7€ O €/10
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