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Finding Domain -ANSWER✅✅✅Rule 1) Cannot divide by zero
set denominator to zero and solve
Finding Domain -ANSWER✅✅✅Rule 2) cannot take the square root of negative
number
set what is inside radical >= 0 and solve
*make number lines*
Polynomial Function -ANSWER✅✅✅ex: f(x)= 2x^4 + 3x^2 - 10x
all powers must be *non negative whole numbers* cannot have negative powers,
square roots, or fractional powers
the *degree* of the function is the highest power (in this case 4)
Rational Function -ANSWER✅✅✅ex: f(x)= (x^3 +5x^2 -7) / x+1
It is the QUOTIENT of 2 polynomials
This means NO negative powers, square roots or fractional powers
*does NOT have a degree*
Power Function -ANSWER✅✅✅ex: f(x)= 2x^5, 3x^-2, square roots, etc
Powers can be any real number (including negatives and fractions)
*does NOT have a degree*