on This week in PreCalc 11 we learned about adding and subtracting rational expressions with binomial and trinomial denominators. So the first step in any adding or subtracting of expressions, you need to simplify the whole equation, ex.
next with fractions, you need to find a common denominator then you can continue with the solving, ex.
Then from there you have to simplify it the most simple form.
Then for subtracting you just have to do the same but obviously subtract.
on This week in PreCalc 11 we learned about multiplying and dividing rational expressions. First step in any equation is to simplify it if possible, ex:
After you can then figure out what x and sometimes y can’t be by looking at the denominator and if x can make the denominator 0, then those numbers can’t be x, ex:
After you state what x and y can’t be you then eliminate everything you can and then you have an answer.
Then for dividing you just have to state the restrictions for both the numerator and the denominator of the fraction after the divide signal and also under the one on the left of the divide signal. Then multiply the reciprocal of it.
on This week in PreCalc 11 we learned about graphing the absolute value of a linear and quadratic function and the reciprocal of them. I will be focusing on the reciprocal form of linear equations, the first thing you do for it is graph the parent function. Next I would find the invariant points, then find the asymptotes, then draw the hyperbola’s.
ex: y=2x+2
Then you would find the invariant points by using 1 and -1 the look along the x line and find where it hit’s the parent line then that’s your invariant points. Ex: the green and blue lines represent where they are.
Then we have to find the x and y asymptotes, most of the time the x intercept is the y asymptote and then 0 is the x asymptote. Ex: the blue line represents the y asymptote and the green line represents the x asymptote.
Then lastly we just have to draw the hyperbola’s by using those lines as a guideline. Ex:
