Math 110 Exam 1 Questions and Answers Updated/Verified
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Course
Math 110
Institution
Math 110
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 -...
Math 110 Exam 1 Questions and Answers
Updated/Verified
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
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
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