Question

Without using technology, describe the end

behavior of f(x) = 3x4 + 8x2 – 22x + 43.
Down on the left, down on the right
Down on the left, up on the right
Up on the left, down on the right
Up on the left, upon the right

Answer 1

The correct answer is D.

Explanation:

Answer 2

Up on the left, up on the right

Explanation:

The given function is:

`f(x)=3x^(4)+8x^(2)-22x+43`

The degree of f(x) is 4 i.e. an even degree and the leading coefficient i.e. coefficient with highest powered variable is positive in sign.

The graph of a function with even degree always open on same side from both ends. This depends on the sign of leading coefficient what will be the direction of both ends. The positive sign indicates upward opening and negative sign indicates downward opening.

Since, the leading coefficient of f(x) is positive, it will open towards up from both right and left side. So, the correct option is the fourth option.