Questions from General Calculus

Q: Draw the graph of f (x) = 2x

Draw the graph of f (x) = 2x + 18/x - 10 in the window [0, 16] by [0, 16]. In what ways is this graph like the graph of a parabola that opens upward? In what ways is it different?

Q: Outline a method for locating the inflection points of a function.

Outline a method for locating the inflection points of a function.

Q: Outline a procedure for sketching the graph of a function.

Outline a procedure for sketching the graph of a function.

Q: What is an objective equation?

What is an objective equation?

Q: What is a constraint equation?

What is a constraint equation?

Q: Outline the procedure for solving an optimization problem.

Outline the procedure for solving an optimization problem.

Q: How are the cost, revenue, and profit functions related?

How are the cost, revenue, and profit functions related?

Q: State as many terms used to describe graphs of functions as you

State as many terms used to describe graphs of functions as you can recall.

Q: What is the difference between having a relative maximum at x =

What is the difference between having a relative maximum at x = 2 and having an absolute maximum at x = 2?

Q: Give three characterizations of what it means for the graph of f

Give three characterizations of what it means for the graph of f (x) to be concave up at x = 2. Concave down.