Math 110 Exam 1 with Verified Question and
Answer
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)
1
Answer
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)
1
