MATH 110 Exam 1 Complete Review
(2026) | 100% Verified Responses | A+
• 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
(2026) | 100% Verified Responses | A+
• 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
