Is "image" the same thing as "range?"

I'm still a bit confused about the definition of "image", could we clarify with a more concrete math example?

Is this similar to the image of a function, i.e. the set of all outputs that a function can produce?

How do we mathematically represent or write out the image of any linear map?

Is "image" the same thing as "range?"

I'm still a bit confused about the definition of "image", could we clarify with a more concrete math example?

Is this similar to the image of a function, i.e. the set of all outputs that a function can produce?

How do we mathematically represent or write out the image of any linear map?