Math 110 Exam 1 questions and answers
2024\2025 A+ Grade
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
2024\2025 A+ Grade
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
