Questions from General Calculus

Q: A function is given by a table of values, a graph

A function is given by a table of values, a graph, a formula, or a verbal description. Determine whether it is one-to-one. f (x) = x2 - 2x

Q: Sketch the curve by using the parametric equations to plot points.

Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as increases.

Q: (a). Sketch the curve by using the parametric equations to

(a). Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as t increases. (b). Eliminate the parameter to find a Cartesi...

Q: How is the composite function f0g defined? What is its domain

How is the composite function f0g defined? What is its domain?

Q: What is an increasing function?

What is an increasing function?

Q: What is a mathematical model?

What is a mathematical model?

Q: Sketch by hand, on the same axes, the graphs of

Sketch by hand, on the same axes, the graphs of the following functions. (a). f (x) = x (b). g (x) = x2 (c). h (x) = x3 (d). j (x) = x4

Q: Draw, by hand, a rough sketch of the graph of

Draw, by hand, a rough sketch of the graph of each function. (a). y = sin x (b). y = tan x (c). y = ex (d). y = ln x (e). y = 1/x (f). y = |x| (g). y = √x

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

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