Guaranteed Pass
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