Question

Sketch a possible graph of a function that satisfies the conditions below:

f(-2) = 0; lim (x -> -2-) f(x) = 2; lim (x -> -2+) f(x) = 2

Answer 1

To sketch the graph, plot the point (-2, 0) and draw a straight line to the point (2, 2) to satisfy the given conditions.

Step-by-step explanation:

To sketch a graph that satisfies the given conditions, we can start by plotting the point (-2, 0) since f(-2) = 0. Next, we need to make sure that the limit as x approaches -2 from the left side and the limit as x approaches -2 from the right side both equal 2. This means that the graph should approach the point (2, 2) from both directions. We can draw a straight line connecting these two points to complete the graph.