PreCalc Studs

Factor the following function.

1. Discover what adds to equal B and multiplies to equal C if A = 0

2. If else, multiply A by C and look again

For which values of x is the expression undefined?

Set Denominator to Zero

Find all vertical asymptotes of the following function.

1. Factor GCF for Numerator and Denominator

2. Cancel Common Factors Between Num and Denom (Holes)

3. Set Denominator Equal to 0

Find all horizontal asymptotes of the following function.

1. Numerator < Denominator | y = 0

2. Numerator = Denominator | y = a/b

3. Numerator > Denominator | Slant/None

Find all x-intercepts of the following function.

1. Factor GCF for Numerator and Denominator

2. Cancel Common Factors Between Num and Denom (Holes)

3. Set the remaining Numerator to 0

4. Solve for X

Find all y-intercepts of the following function.

1. Set X to 0 and solve

Solve the inequality.

1. Identify the 0s
   Denominator 0s will always be open circles

2. Substitute to search for positives and negatives

3. Put that in relation to the question

Find all the holes of the function.

1. Factor GCF

2. Cancel Commons

3. X = the solution to the hole (x - 5 means x = 5)

4. Plug in x value to get y for coordinate point