Resemblance:
* "My son takes after his grandfather – they both have that same mischievous twinkle in their eyes."
* "She takes after her mother in her love for gardening."
* "The younger brother takes after his older sister in her athleticism."
Caring for/Looking after:
* "I take after my elderly neighbor by bringing her groceries."
* "Could you take after the children while I run to the store?"
* "I take after my dog while my partner is away."
Investigating/Pursuing:
* "The detective decided to take after the suspect."
* "The journalist took after the story, determined to uncover the truth."
* "He took after his dream of becoming a musician."
Imitating/Following an example:
* "She took after her role model by volunteering her time to help others."
* "The students took after their teacher's enthusiastic approach to learning."
* "The team took after their captain's leadership."
The meaning of "take after" can depend on the context, so it's important to pay attention to the rest of the sentence.