Hey, didn’t understand, it’s not a big issue, just make a parabola and put the X’s you’ve found as intersection points on an axis, and you can tell the answers…

@Ninja20704

5 ай бұрын

What he showed is a more general approach which works for any polynomial or rational function that is already in its factored form. Because it gets a lot harder to do by drawing the graph when the functions get more complicated, so simply finding critical numbers and using test values is easier.

@Pwassoncru

5 ай бұрын

@@Ninja20704 If he wanted a more general approach, he should have done it properly then. Take the derivative's sign, and determine where the graph is decreasing or increasing. Then you can have the sign of the graph without having to know anything about the function.

@colinjava8447

5 ай бұрын

It can backfire if you have (-x + a)(x + b) > 0 as you'd have to have an upside down parabola. But you can always make it (x + a)(x + b) so you're method does work, it's how I do it actually myself.

@ArieLavi

5 ай бұрын

@@colinjava8447 yes it really does work really nice way😊

@Ninja20704

5 ай бұрын

@@Pwassoncru you do realise that you still will have to solve an inequality of pretty much the same type to figure out where the function is increasing/decreasing right? And if you had a rational function, then the inequality you have to solve after taking the derivative would be far more complicated than the original question. It is much simpler to solve just by factoring the numerator and denominator, and setting each factor to 0 and it is still a general method that always works. Because we know that a function can only change from positive to negative or vice versa if (1) it passes through zero (when the numerator is 0) (2) it is discontinuous, which for the most part are vertical asymptotes (when the denomiator is 0), So all we need to care about are the points where each factor is 0, and then use test values inbetween to figure out the required intervals.

Another method will be with calculating the delta and find out if is equal, greater or smaller than zero. Then we will use the sign table to find in which interval X should be.

*Wavy curve method*

Use the second derivative test

We would have to write R\[1,2]🙈🙈

Use wavy curve to get answer in a second

Yeh first...😊

X=1.5

100th like lets gooo

🤦

@nickronca1562

5 ай бұрын

What was *that* for?

@Humulator

5 ай бұрын

Its fine everyone makes mistakes

@nickronca1562

5 ай бұрын

@@Humulator Yeah like you since it's "it's" not "its". Or like the og commenter for posting such a dumbass comment and getting ratioed 3 to 0 when I pointed out how dumb and rude his comment was