a) We kindly invite to check the image attached below to see a detailed graph of the piecewise function.
b) The piecewise function is continuous.
How to understand a piecewise function
A piecewise function is a conditional combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.
a) The piecewise function described in the question is plotted on a graphing tool (i.e. Desmos), whose result is presented in the image attached below.
b) A function is continuous if and only if there is one value from range for every value of domain. The piecewise function is continuous as linear functions are continuous and the two functions of the conditional combination have the same value for x = 30.
To learn more on piecewise functions: https://brainly.com/question/12561612
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