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Linear function
f(x) = mx + b
Average rate of linear function
Δy/Δx = m
f(x) = ax^2 + bx + c; a =/= 0
Revenue; R(x)
(prince)(quantity sold); R(x) = px
Linear cost function
C(x) = mx + b
Profit cost function
P(x) = R(x) - C(x)
Completing the square step 1
Factor out the coefficient of x^2 if its not 1
Completing the square step 2
Add & subtract the square of half of the coefficient of x
Completing the square step 3
Factor completely (hint: the first 3 terms is a perfect square trinomial)
Vertex
The origin point
Solve the related equation. (Change the inequality symbol to equal sign)
Divide the number line into subintervals using the step 1 result
For interval, pick a test number that inside the interval.
Rational inequality step 1)
Solve the related equation. (Change the inequality symbol to equal sign)
Rational inequality step 2)
Determine the value(s) that make the denominator equals zero.
Rational inequality step 3)
Divide the number line into subintervals using the step 1 and step 2 result.
Rational inequality step 4)
For interval, pick a test number that inside the interval.