Find the equation of the quadratic whose graph has the

Question

1. Simplify the difference quotient for: f(x) = 3x2 - 4x

2. Find the equation of the quadratic whose graph has the vertex of (5, 1) and goes through the point (3, -7)

3. On graph 1, draw a graph that would represent a function. Tell how you know it is a function. On graph 2, draw a graph that would represent something that is NOT a function. Tell how you know it is NOT a function:

       I know this IS a function because... I know this IS NOT a function because...

4. Wally's Widget World produces 825 widgets per month. The fixed cost of widget production is $567. The marginal cost is $7 per widget. Widgets sell for $28 each.

(A) Write an equation for the cost function, C(x)

(B) Write an equation for the  revenue function, R(x)

(C) Write and simplify an equation for the profit function, P(x)

(D) Find the break-even point: number widgets __________ dollar amount __________

(E) Average cost per widget each month ______________________ (round to the nearest cent)

5. Let f(x)= (3x²+14x+8)/(2x²+7x-4)

(A) Equation of vertical asymptote(s) if none, write none

(B) Equation of horizontal asymptote(s) if none, write none

(C) point of hole(s) if none, write none