Vertical Asymptotes: Vertical asymptotes are vertical lines that represent values in the domain where a function approaches positive or negative infinity. They occur when there are restrictions on certain x-values in the domain.
Range: The range of a function refers to the set of all possible output values (y-values) that result from plugging in different x-values from the domain. It represents what values the function "reaches" or outputs.
Horizontal Asymptotes: Horizontal asymptotes are horizontal lines that represent values in the range where a function approaches as x approaches positive or negative infinity. They indicate how the y-values behave as x gets very large or very small.