Math 110 Exam 1 || very Flawless.

Finding Domain correct answers Rule 1) Cannot divide by zero set denominator to zero and solve Finding Domain correct answers Rule 2) cannot take the square root of negative number set what is inside radical = 0 and solve *make number lines* Polynomial Function correct answers 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 correct answers 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 correct answers 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* All polynomial functions are power functions... correct answers but the reverse is not true! Not all power functions are polynomial functions Equilibrium Point correct answers occurs where the supply function equals the demand function s(x) = d(x) To find equilibrium *quantity* correct answers set s(x)=d(x) and solve for x To find equilibrium *price*, p correct answers set s(x)=d(x) and solve for x and plug it back into either s(x) or d(x) Demand p(x) correct answers p denotes price and x is the amount produced