### Understanding the Limit of a Function**In your own words, describe the limit of a function $ y = f(x) $ as $ x $ approaches $ c $:***[Your explanation here]***The notation we use is:***[Notation]*### Graphs of Basic FunctionsLet $ c $ be a non-zero constant, $ r $ be any constant, and $ k $ be an integer. Roughly sketch the curve $ y = f(x) $, labeling asymptotes and intercepts. Then calculate the limits.#### Graph Descriptions and Limits:1. **$ f(x) = 0 $** - A horizontal line on the x-axis. - (1) $ \lim_{x \to 0} f(x) = \underline{\quad\quad} $ - (2) $ \lim_{x \to c} f(x) = \underline{\quad\quad} $2. **$ f(x) = r $** - A horizontal line at $ y = r $. - (1) $ \lim_{x \to 0} f(x) = \underline{\quad\quad} $ - (2) $ \lim_{x \to c} f(x) = \underline{\quad\quad} $3. **$ f(x) = x $** - A diagonal line through the origin with a slope of 1. - (1) $ \lim_{x \to 0} f(x) = \underline{\quad\quad} $ - (2) $ \lim_{x \to c} f(x) = \underline{\quad\quad} $Use these graphs to help understand the behavior of each function as $ x $ approaches different values.*[Insert Specific Values for Blanks Based on Analysis Understanding]*

Answered: Image /qna-images/answer/73911161-79b0-4552-a484-b283b29ff432.jpg

The notation we use is Graphs of Basic Functions Let c be a non-zero constant, r be any constant, and k be an integer. Roughly sketch the curve y = f(x), labeling asymptotes and intercepts. Then calculate the limits. 1. f(x) = 0 TY (1) lim f(x)= x-0 (2) lim f(x) = X-C M 2. f(x) = r Ty (1) lim f(x)= x-0 (2) lim f(x)= 34-X $ 3. f(x) = x TY (1) lim f(x) = x0 (2) lim f(x) = x-c