Answer:
see below
Step-by-step explanation:
Choose a couple of values for x. Figure out the corresponding values for y. Plot those points and draw a line through them.
Let's choose x=0 and x=4. Then the corresponding y-values are ...
y = 2·0 = 0 . . . . . point (x, y) = (0, 0)
y = 2·4 = 8 . . . . . point (x, y) = (4, 8)
These are graphed below.
The scenario can be described using a piecewise function like:
f(x) = 1/x if x < c.
f(x) = x if x = c
f(x) = 1/(x + 73) if x > c.
<h3>When the value exists but the limit does not?</h3>
Remember that the limit only exists if the limit from left and the limit from the right give the same value.
Then, we can just define a piecewise function of the form:
f(x) = 1/x if x < c.
f(x) = x if x = c
f(x) = 1/(x + 73) if x > c.
Clearly, this is not a continuous function.
Notice that:
So the limits from left and right are different, then:
Does not exist.
If you want to learn more about limits:
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