Graphing polynomials Quiz #3

Please complete the chart:

For this graph complete the following end behavior: As x --> -∞, f(x) --> _(A)_

As x --> +∞, f(x) --> _(B)_

• A= -∞

  B= -∞

• A= +∞

  B= -∞

• A= -∞

  B= +∞

• A= +∞

  B= +∞

Answer explanation

The question asks about the end behavior of the graph as x approaches -∞ and +∞. The answer shows that as x approaches -∞, f(x) goes to +∞, and as x approaches +∞, f(x) goes towards -∞. This means the graph rises to the left and falls to the right.

For this graph complete the following end behavior: As x --> -∞, f(x) --> _(A)_

As x --> +∞, f(x) --> _(B)_

• A= -∞

  B= -∞

• A= +∞

  B= -∞

• A= -∞

  B= +∞

• A= +∞

  B= +∞

Answer explanation

The question asks about the end behavior of a function as x approaches negative and positive infinity. The correct answer indicates that as x approaches both negative and positive infinity, the function f(x) will also approach positive infinity. It means that the graph of the function rises to the right and left ends.

If the degree of the function is odd, then...

• The ends point in the same direction

• The ends point in opposite directions

Answer explanation

The degree of a function determines the general shape of the graph. If the degree is odd, the behavior of the graph at the ends runs in opposite directions. That's why, the answer to the question is 'The ends point in opposite directions'.

If the degree of the function is even, then...

• The ends point in the same direction

• The ends point in opposite directions

Answer explanation

In a function with an even degree, the ends of the graph point in the same direction. This is because even degree functions are symmetric about the y-axis. Therefore, the correct answer to the question is 'The ends point in the same direction'.

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