Graph the function. Thanks?!
2 Answers
Graph: graph{5x-3 [-8.58, 11.42, -4, 6]}
The limit when
Explanation:
Drawing the graph
Compare it with the slope-intercept form of a straight line
.
Here
Given equation
- Slope
#(m) = 5# #y# -intercept#(b)# = -3#
Make
We get a graph that looks something like this
Evaluating the limit at
We can see that the graph has no discontinuity/a jump at
Put in
The limit when
See below.
Explanation:
You can see from the graph that as we approach 5 from the left and from the right that they both limit to 22.
We could have obtained this by plugging in
This is a continuous function so the limit exist for every point in the domain, which is