Question

Without using technology, describe the end behavior of f(x) = 3x^4 + 8x^2 - 22x + 43.​

Answer 1

Answer:

Up on the left, up on the right

Step-by-step explanation:

The given function is:

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.