Math 110 Exam WITH VERIFIED SOLUTIONS

MATH 110 EXAM 1 2024 WITH
100% CORRECT ANSWERS




Finding Domain - correct answer-Rule 1) Cannot divide by zero



set denominator to zero and solve



Finding Domain - correct answer-Rule 2) cannot take the square root of negative number



set what is inside radical >= 0 and solve



*make number lines*



Polynomial Function - correct 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 - correct 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 - correct 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*



All polynomial functions are power functions... - correct answer-but the reverse is not true! Not all
power functions are polynomial functions



Equilibrium Point - correct answer-occurs where the supply function equals the demand function



s(x) = d(x)



To find equilibrium *quantity* - correct answer-set s(x)=d(x) and solve for x



To find equilibrium *price*, p - correct answer-set s(x)=d(x) and solve for x and plug it back into
either s(x) or d(x)



Demand p(x) - correct answer-p denotes price and x is the amount produced



Revenue R(x) - correct answer-R(x)= x * p(x)



Total Cost C(x) - correct answer-Fixed cost + variable cost



Avg. Cost - correct answer-C(x) / x