1A Review - Algebra II

 $<$  is used when a number is not included in the domain/range 
 $\le$  is used when a number is included in the domain/range

Ex. In the figure, the domain is  $4\le x<\infty$  where 4 is included (solid dot) and infinity is not because it is not a discrete number

 $\left(\ \right)$  is used when a number is not included in the domain/range 
 $\left[\ \right]$  is used when a number is included in the domain/range

Ex. In the figure, range is  $\left(-5,\ 5\right)$  where -5 nor 5 are included (open circles)

Then, we began to look at solutions to systems. One way was looking at where they intersect either using graphs or algebra

(0.5, 7.5)

Rational Functions are functions that take the form of fractions

An asymptote is a line that the graph approaches but never meets

The vertical asymptote can be found by looking at the denominator - what value of x will cause a 0 to be in the denominator?

The horizontal asymptote can be found by looking at the constant at the end of the function. Let's edit our function a bit:

What makes a solution extraneous?

A solution is extraneous if it does not make the original equation true. When plugged back in, the end result will be false.

Using either substitution or elimination, describe how you would solve this system.

 $3x-y=8$  

Remember that we have three cases of solutions