Examine the leading term and determine the far-left and far-right behavior of the graph of the polynomial function. (Select all that apply.)

Question

P(x) = −8x⁴ − 5x³ + 5x² − 2x + 9

Select all that apply:

1. up to the far left
2. down to the far left
3. up to the far right
4. down to the far right

Answer 1

down to the far left and

down to the far right

the leading term is negative with an even exponent

that means it will always be negative and increasingly negative the larger or smaller x is

a million or -million squared is a positive huge number. Put a negative sign in front and it gets increasingly negative on both the far right (where x is very large) and to the far left( where x is very negative)