Exam 1

average rate of change

f(x2)-f(x1)/x2-x1
slope
Plug F(x) --> y

1/x^a

x^-a

b√ x^a

x^a/b

point slope formula

y-y₁=m(x-x₁)

slope

m=y2-y₁/x2-x1

Profit P(x)

= Revenue-Cost. R(x)- C(x)

Revenue R(x)

Price x Quantity p x q

Total Cost C(x)

fixed cost + variable cost

charges/sells

price

Rate/slope of the tangent line

derivative

Break even

Profit = 0
P(0)

Quadratic Formula

x = -b ± √(b² - 4ac)/2a
ax^2 + bx + c