Math 110 Exam 1 GUARANTEED PASS!!
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
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, Powers can be any real number (including negatives and fractions)
*does NOT have a degree*
All polynomial functions are power functions... - (ANSWER)but the reverse is not true! Not all
power functions are polynomial functions
Equilibrium Point - (ANSWER)occurs where the supply function equals the demand function
s(x) = d(x)
To find equilibrium *quantity* - (ANSWER)set s(x)=d(x) and solve for x
To find equilibrium *price*, p - (ANSWER)set s(x)=d(x) and solve for x and plug it back into
either s(x) or d(x)
Demand p(x) - (ANSWER)p denotes price and x is the amount produced
Revenue R(x) - (ANSWER)R(x)= x * p(x)
Total Cost C(x) - (ANSWER)Fixed cost + variable cost
Avg. Cost - (ANSWER)C(x) / x
Profit P(x) - (ANSWER)R(x) - C(x)
Break Even Level - (ANSWER)Where R(x) = C(x) or
Where P(x) = 0
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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
Page 1 of 6
, Powers can be any real number (including negatives and fractions)
*does NOT have a degree*
All polynomial functions are power functions... - (ANSWER)but the reverse is not true! Not all
power functions are polynomial functions
Equilibrium Point - (ANSWER)occurs where the supply function equals the demand function
s(x) = d(x)
To find equilibrium *quantity* - (ANSWER)set s(x)=d(x) and solve for x
To find equilibrium *price*, p - (ANSWER)set s(x)=d(x) and solve for x and plug it back into
either s(x) or d(x)
Demand p(x) - (ANSWER)p denotes price and x is the amount produced
Revenue R(x) - (ANSWER)R(x)= x * p(x)
Total Cost C(x) - (ANSWER)Fixed cost + variable cost
Avg. Cost - (ANSWER)C(x) / x
Profit P(x) - (ANSWER)R(x) - C(x)
Break Even Level - (ANSWER)Where R(x) = C(x) or
Where P(x) = 0
Page 2 of 6
