Let a function f be the line graph connecting the data points (1, 2), (4,9), and (6,3).

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Let a function f be the line graph connecting the data points (1, 2), (4,9), and (6,3). 

(a) Write the formula for a piecewise-linear function f that passes through these data points whose domain is 1 ≤ x ≤ 6. 

(b) Evaluate f(5). 

(c) Is f continuous on its domain?

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