Questions from General Calculus

Q: Find the domain and sketch the graph of the function.

Find the domain and sketch the graph of the function. f (x) = {(x+2 & if & x < -1 @ x2 & if & x > -1)

Q: Discuss four ways of representing a function. Illustrate your discussion with

Discuss four ways of representing a function. Illustrate your discussion with examples.

Q: Give an example of each type of function. (a

Give an example of each type of function. (a). Linear function (b). Power function (c). Exponential function (d). Quadratic function (e). Polynomial of degree 5 (f). Rational function

Q: Use transformations to sketch the graph of the function. y

Use transformations to sketch the graph of the function. y = 3 ln (x – 2)

Q: Use transformations to sketch the graph of the function. y

Use transformations to sketch the graph of the function. y = 1/2 (1 + ex)

Q: Use transformations to sketch the graph of the function. y

Use transformations to sketch the graph of the function. y = 2 - √x

Q: Use transformations to sketch the graph of the function. f

Use transformations to sketch the graph of the function. f (x) = 1/ x + 2

Q: Use transformations to sketch the graph of the function.

Use transformations to sketch the graph of the function.

Q: If f (x) = ln x and g (x

If f (x) = ln x and g (x) = x2 - 9, find the functions (a) f0g, (b) g0f, (c) f0f, (d) g0g, and their domains.

Q: Express the function F (x) = 1 /√x +

Express the function F (x) = 1 /√x + √x as a composition of three functions.