Questions from General Calculus

Q: Explain how to solve f (x) = b geometrically from

Explain how to solve f (x) = b geometrically from the graph of y = f (x).

Q: Explain how to find f (a) geometrically from the graph

Explain how to find f (a) geometrically from the graph of y = f (x).

Q: Explain the relationships and differences among real numbers, rational numbers,

Explain the relationships and differences among real numbers, rational numbers, and irrational numbers.

Q: What are the four types of inequalities, and what do they

What are the four types of inequalities, and what do they each mean?

Q: Let f (x) = x / x - 2,

Let f (x) = x / x - 2, g(x) = 5 – x / 5 + x, and h(x) = x + 1 / 3x - 1. Express the following as rational functions. h(1/x2)

Q: What is the difference between an open interval and a closed interval

What is the difference between an open interval and a closed interval from a to b?

Q: Determine the domains of the following functions. f (x

Determine the domains of the following functions. f (x) = √(x – 1)

Q: Find a good window setting for the graph of the function.

Find a good window setting for the graph of the function. The graph should show all the zeros of the polynomial. f (x) = x3 - 22x2 + 17x + 19

Q: A cellular telephone company estimates that, if it has x thousand

A cellular telephone company estimates that, if it has x thousand subscribers, its monthly profit is P(x) thousand dollars, where P(x) = 12x - 200. (a) How many subscribers are needed for a monthly pr...

Q: Let f (x) = 3√x and g(

Let f (x) = 3√x and g(x) = 1 / x2. Calculate the following functions. Take x > 0. f (x) / g(x)