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Which graph of f(x) satisfies the conditions lim f(x) = 4 and lim f(x) = 0?

Which graph of f(x) satisfies the conditions lim f(x) = 4 and lim f(x) = 0?-example-1
Which graph of f(x) satisfies the conditions lim f(x) = 4 and lim f(x) = 0?-example-1
Which graph of f(x) satisfies the conditions lim f(x) = 4 and lim f(x) = 0?-example-2
User Ozmike
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1 Answer

12 votes
12 votes

Let's take a look at each graph and focus on x = 2.

Let's start with this graph.

As x approaches 2 from the left side ( - ), the value of f(x) approaches 0. In the same manner, as x approaches 2 from the right side ( + ), the value of f(x) is -2.

Let's move on to the other graph.

As x approaches 2 from the left side ( - ), the value of f(x) approaches 0. In the same manner, as x approaches 2 from the right side ( + ), the value of f(x) is -4.

For the third graph,

As x approaches 2 from the left side ( - ), the value of f(x) is -2. In the same manner, as x approaches 2 from the right side ( + ), the value of f(x) approaches 0.

Lastly, for the graph below:

As x approaches 2 from the left side ( - ), the value of f(x) is -4. In the same manner, as x approaches 2 from the right side ( + ), the value of f(x) approaches 0.

In the question, we are looking for approaching from the left side = -4 and approaching from the right side = 0. Out of the 4 graphs, the last graph in the solution shows this. Hence, this is the graph that satisfied the condition.

Which graph of f(x) satisfies the conditions lim f(x) = 4 and lim f(x) = 0?-example-1
Which graph of f(x) satisfies the conditions lim f(x) = 4 and lim f(x) = 0?-example-2
Which graph of f(x) satisfies the conditions lim f(x) = 4 and lim f(x) = 0?-example-3
Which graph of f(x) satisfies the conditions lim f(x) = 4 and lim f(x) = 0?-example-4
User Daniel Lo Nigro
by
2.7k points