Labware - MA35 Multivariable Calculus - Single Variable Calculus
 MA35 Labs 1 » Single Variable Calculus Contents1.1 Functions of One Variable 1.1.1 Demo Tutorial 1.1.2 Linear Functions 1.1.4 Slices 1.1.6 Continuity 1.4 Integration Search

Linear Functions

Text

Calculus is the study of functions.

Demos

 Linear Functions This demo shows the linear function in one variables L(x) = px +k over the domain 0 ≤ x ≤ 1. You can change the constants p and k using the respective red or purple slide bar, and the Graph: L(x,y) window will show the function graph of L(x,y) with the chosen values for the constants. If you slide the hotspot on the purple slidebar, (thereby varying the constant k) the function graph is translated up and down in the directon of f(x,y,z). Varying p on the red slidebar will scale in the x-direction of the graph. Note: For help on using demos, see page 1 of lab 2.1.1.

Examples

Zero Functions

Constant Functions

Linear Functions

Exercises

• 1. Find the segment joining the x- and y-intercepts for y = px + k. Describe the segment.
• 2. Show that if p ≠ 0, then for every y there is a point x such that L(x) = px + k = y.