Question

Please help me with questions 7&8!!!!

Answer 1

Number 7:
answer: a) odd
b) negative
explanation: let’s look at end behaviour. we know that all odd degree polynomials have opposite end behaviours, meaning that as x approaches negative infinity it will be in an opposite quadrant compared to when x is approaching positive infinity. Since x starts in Quad 2 and ends in Quad 4, we know it’s odd degree!! To figure out whether the leading coefficient is positive or negative, let’s look at what we already know about functions. Any odd function that has a positive leading coefficient will go from Quad 1 to Quad 3. Think about y = x^3 for example. Since this function goes from 2 to 4, the L.C. is negative.

number 8:
answer: a) even
b) negative

explanation: same logic as above but with even degree functions. Think about y = x^2 or x^4