00:01
In this question, we are asked to find the limit of the function f as x goes to 4 from the right.
00:07
F is a piecewise defined function, and let's first sketch the graph of f.
00:14
So for x less than 4, we need to draw the graph of negative 2x plus 3.
00:21
When x equals 0, y equals to 3.
00:26
And when x equals 1, y equals to 1.
00:30
So this is a graph of the first function.
00:50
And it goes up to x equals 4.
00:54
And know that the inequality is strict, so it's not defined that x equals 4 from the left.
01:10
Now when x is greater equal than 4, we need to draw the graph of 2x plus 4.
01:17
When x equals 4, 2x plus 4 equals to 12.
01:23
So we need to go all the way up here and when x equals to 5 y equals to 14 when x equals to 6 y equals to 16 and so on it will go up in that direction now we are asked to find the limit of f as x goes to 4 from the right this means that we are approaching 4 from this direction...