Question: 1. Prove that any continuous function f : [a, b] -> [a, b] has at least one fixed point 1. Prove that any continuous function
![1. Prove that any continuous function f : [a, b] + [a,](https://s3.amazonaws.com/si.experts.images/answers/2024/06/6668baea4a96a_6266668baea37946.jpg)
![b] has at least one fixed point.](https://s3.amazonaws.com/si.experts.images/answers/2024/06/6668baea9e9dc_6266668baea8701a.jpg)
1. Prove that any continuous function f : [a, b] -> [a, b] has at least one fixed point
1. Prove that any continuous function f : [a, b] + [a, b] has at least one fixed point.
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