Math 115 Lab #3
M. Flashman
I. Lines
II. X and Y intercepts
for functions
I. Lines and Linear Functions.
Demonstration with Winplot.
-
Equa
Menu
- Plot a function
:explicit... y
= f (x)...
- f(x) = 2x-4
- f(x) = mx + b "Slope: m
Y-intercept:(0,b)"
[
Illusrate use of parameters.]
- f(x) = m(x-a) + b "Point:(a,b)
Slope:m"
- Find
Y and X intercepts. [ x= 0... y = ?; y = 0... x = ?]
- Plot a Line: ax + by = c
- Example: a = 2; b = 6; c = 4.
- If b =
0 then line is vertical!
- If a = 0 then line is horizontal.
- Anim Menu: A,
B, C, ...
- The Inventory :
Inventory... Ctrl
I
II.
X and Y intercepts for functions
Record your answers for the next work and submit them on Moodle by
Thursday, Feb 11.
Use Winplot to find the Y- intercept and
any (and all) X-intercepts in each of the following:
- y = -5x2
- x + 6 .
- y = x2 +
4x + 3 .
- y = 2x3 - 5x2
- x + 4 .
- y = x3 + 5x2
- 2x - 4 .
- One Function
Menu
- Slider...
- function
choice
- the "slider"
[used for tracing and finding values of f(x).]
- Zeros...
Save as...
End of Lab 3