Math 110 Exam 1 Questions with Correct Answers

Math 110 Exam 1

Finding Domain - Answers -Rule 1) Cannot divide by zero

set denominator to zero and solve

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

set what is inside radical >= 0 and solve

*make number lines*

Polynomial Function - Answers -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 - Answers -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 - Answers -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... - Answers -but the reverse is not true!
Not all power functions are polynomial functions

Equilibrium Point - Answers -occurs where the supply function equals the demand
function

s(x) = d(x)

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