Answer:
Step-by-step explanation:
The degree is 4 the leading coefficient is even/positive. There are 3 distinct real 0's and 3 relative extreme values
Step-by-step explanation:
4th degree. Degree is the highest exponent. The number of 0's (times it hits the curve)tells you the degree. The curve goes through the x 2 times, which means 2 x's. Then it bounces off x 1 time which means there are 2 x's there too but because this one bounces off it means it's not a distint solution it's a multiplicity ex (x-3)². So that accounts for 4 solutions
Even/positive coefficient. That's the first number in the equation. Because it's facing up it's a positive but all the ends are both facing up so that tells you it's even. Think of a parabola that is an even function, this follows those rules too.
3 distinct zeroes. This is explained in 4th degree. Zeroes are solutions, when it hits x axis. Goes through x 2 times and bounces once. So there are 3 distinct zeroes
3 relative extreme values. This is how many "mini" max and mins you have.