a review of graphing functions

17
A Review of Graphing Functions

Upload: maris

Post on 19-Feb-2016

26 views

Category:

Documents


2 download

DESCRIPTION

A Review of Graphing Functions. Cartesian Plane. (2,5). (-4,3). (-7,-7). (1,-3). What is a function?. y. x. y = mx + b. f(x) = ln (x+5). y = ax 2 + bx + c. f(x) = sin x. g(x) = e x. The Vertical Line Test. Linear Functions. y = mx + b. slope. y-intercept. y = 2x + 3. - PowerPoint PPT Presentation

TRANSCRIPT

Page 1: A Review of Graphing Functions

A Review of Graphing Functions

Page 2: A Review of Graphing Functions

Cartesian Plane

(2,5)(-4,3)

(-7,-7)

(1,-3)

Page 3: A Review of Graphing Functions

What is a function?x y

y = mx + by = ax2 + bx + c

f(x) = sin xg(x) = ex

f(x) = ln (x+5)

Page 4: A Review of Graphing Functions

The Vertical Line Test

Page 5: A Review of Graphing Functions
Page 6: A Review of Graphing Functions

Linear Functions y = mx + b

slope y-intercept

y = 2x + 3

y = 3x - 4

y = -(1/2)x

Page 7: A Review of Graphing Functions

Linear Functions

y = 4

x = 2

Page 8: A Review of Graphing Functions

Quadratic Functionsy = ax2 +bx + c

y = x2

Page 9: A Review of Graphing Functions

Quadratic Functionsy = x2 - 2x + 1

Page 10: A Review of Graphing Functions

Quadratic Functionsy = x2 - 2x + 2

Page 11: A Review of Graphing Functions

y = ax2 + bx + c

+ -or

y = x2

y = -x2

Page 12: A Review of Graphing Functions

y = ax2 + bx + c

changes width of parabola

y = x2

y = 2x2

y = .5x2

Page 13: A Review of Graphing Functions

y = ax2 + bx + c

moves parabola up or down

y = x2 + 2x + 1

y = x2 + 2x

y = x2 + 2x - 1

Page 14: A Review of Graphing Functions

f(x+a)

y = x2 + 2x + 1

y = (x+1)2 + 2(x+1) + 1

Page 15: A Review of Graphing Functions

f(x+a)

y = x2 + 2x + 1

y = (x+1)2 + 2(x+1) + 1

Page 16: A Review of Graphing Functions

Graph Transformations

y = ax2 + bx + c

y = ax2 + bx + c

y = (x+h)2 + (x+h) + c

y = ± x2

Page 17: A Review of Graphing Functions

Free Graphing Calculator Graphing Calculator by Mathlab