Question

Please, I have the answer I need an explanation though

Answer 1

Step-by-step explanation

The first condition f(1) = 0 means that when x = 1, y = 0, which is represented in the following part of the graph:

Next, we are told that at f(3) is undefined. In this case, this is represented by the empty dot when x = 3. The empty dot means it is undefined in this function (graph below, red circle).

The following condition:

`\lim_(x\to3)f(x)=1`

Is saying that when x approaches the 3 value, y = 1 which is also represented in the graph by the blue line:

The next condition states that when x approaches 0 from the positive side, y approaches –∞ (red arrow shown in the graph below):

`\lim_(x\to0^+)f(x)=-\infty`

Similarily,

`\lim_(x\to2)f(x)=\infty`

states that when x approaches 2, y approaches ∞ (yellow arrow shown in the graph below):

Finally,

`\lim_(x\to4)f(x)=\infty`

states that when x approaches 4, y approaches ∞ (red arrow shown in the graph below):