Question

PLEASE HELP! 50 POINTS!

Part B Here’s a different way to partition the same function. Write a description of the partitioned function using known function types. Include function transformations in your description. (Graph attached)

Answer 1

quartic polymomial with negative leading coefficient

scaled 1/x function with horizontal offset

Explanation:

The wiggles of section 1 can be attributed to a number of different functions. Perhaps the simplest is a 4th-degree polynomial. In order to have downward-trending end behavior, it would need to have a negative leading coefficient.

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The curve of section 2 looks like it might be a scaled and translated version of 1/x, or it could be an exponential function. The latter would be expected to approach the horizontal asymptote more quickly than shown here, so we prefer a version of 1/x.

Answer 2

1. quartic polymomial with negative leading coefficient
2. scaled 1/x function with horizontal offset

Explanation:

The wiggles of section 1 can be attributed to a number of different functions. Perhaps the simplest is a 4th-degree polynomial. In order to have downward-trending end behavior, it would need to have a negative leading coefficient.

__

The curve of section 2 looks like it might be a scaled and translated version of 1/x, or it could be an exponential function. The latter would be expected to approach the horizontal asymptote more quickly than shown here, so we prefer a version of 1/x.