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I was miss understanding what my teacher was telling us in class

I was miss understanding what my teacher was telling us in class-example-1

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To answer this question, we need to know that when it is mentioned that we need to determine the right-hand and left-hand behavior of the graph, we have to determine what happens with the function when the values for the independent variable, x, increase (right-hand) and when the same independent variable decreases (left-hand).

We can use a graphing calculator to graph that function as follows:

This is the graph for the function:


f(x)=(x^4+3)/(4)

As we can see, when the values of x tend to infinity (positive infinity), right-hand behavior, the values of y tend to positive infinity (rises to the right).

We can also see that when the values of x tend to negative infinity (-∞), the values of y tend to positive infinity too (rises to the left).

Therefore, in summary, we can say that the behavior of the graph is:

• Rises to the left, Rises to the right (second option)

I was miss understanding what my teacher was telling us in class-example-1
I was miss understanding what my teacher was telling us in class-example-2
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