Using the graph above, state:  a) Domain of the graph b) Range of the graph c) List any relative maximums or minimums of the function.  d) State the intervals in which the function is increasing, decreasing or constant. 

The graphs of f and g are shown. Find the values for the given values of x, if possible.a. ( f + g)(-2);               b. (1);                c. (g ∘ f )(3)

Factor f (x) = 3×3 – 2×2 – 53x – 60 as a product of linear factors given that -3 is a zero.

Use the graph of y = 5x to graph the function f (x) = 5x – 5 on your submission paper. Also, state the domain and range in interval notation.

A vendor at a street fair sells bags of kettlecorn for $3.00 each.  The vendor is charged $250 to set up the booth.   It costs the vendor approximately $0.75 to produce each bag of kettlecorn.  a)  Write a linear cost function representing the cost C(x) to the vendor to produce x bags of kettlecorn.  b)  Write a linear revenue function representing the revenue of selling x bags of kettlecorn.  c)  Determine the breakeven number of bags of kettlecorn to be sold.   

Explain why a polynomial with real coefficients of degree 5 must have at least one real zero. 

Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places. 

Explain why the equation

Solve the problem.The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f = -33p 2 + 1386p – 10,853, where p is the price per shirt and f is the monthly profit based on that price. Find the price that generates the maximum profit and find the maximum profit.

Solve the problem on your submission paper.  f (x) =