Loading presentation...

Present Remotely

Send the link below via email or IM


Present to your audience

Start remote presentation

  • Invited audience members will follow you as you navigate and present
  • People invited to a presentation do not need a Prezi account
  • This link expires 10 minutes after you close the presentation
  • A maximum of 30 users can follow your presentation
  • Learn more about this feature in our knowledge base article

Do you really want to delete this prezi?

Neither you, nor the coeditors you shared it with will be able to recover it again.


Linear Functions

No description

Jeemy Barber

on 19 August 2015

Comments (0)

Please log in to add your comment.

Report abuse

Transcript of Linear Functions

Parent Function: f(x) = x
Is it a function? Yes, passes VLT!
Vertical Shifts f(x) = x + b
The Y-Intercept
Adding/Subtracting shifts the graph up or down.
Vertical & Horizontal Stretches
f(x) = mx "The Slope"
multiplying x by m stretches the graph.
Reflection f(x) = -mx
When m is negative, reflects/flips graph over x-axis.
Linear Function f(x) = mx + b
m, stretches vertical/horizontal and reflects (slope)
b shifts up or down (y-intercept)
Writing Equation
Given a y-intercept of 5, and a slope of 2/3, write a linear equation.
Function Questions Answered
Yes, it is a function
Domain/Range: All Real #'s
Always decreasing ( m is negative)
As x increases, y decreases
Thanks For Listening
Group Members: Mr. Barber
Family of Functions
Linear Functions

Mr. Barber

X and Y intercept are at (0,0)
As x increases, y increases
As x decreases, y decreases
Domain/Range: All Real #'s
X and Y always the same
Always increasing
f(x) = x + 5
f(x) = x - 4
Changes table by adding
or subtracting b value
from x.
f(x) = x + 12, would
shift graph up 12 units
f(x) = x - 3, would shift
graph down 3 units.
|m| > 1, stretches
0 < |m| < 1, stretches
f(x) = 3x
f(x) = 0.5x
vertical stretches cause y to increase quickly
horizontal stretches cause y to increase slowly.
f(x) = x
f(x) = -x
as x increases
y decreases
X values changes
in table
f(x) = -4x + 3
f(x) = -4x + 3
reflects over x-axis
stretches vertically
by a multiplier of 4
shifts up 3
slope is -4, y-int is (0,3)
f(x) = 2/3x + 5
Given f(x) = -0.5x, find the slope and y-intercept.
slope = -0.5 y-intercept is 0
f(x) = -4x + 3
As x decreases, y increases
x-int (.75,0)
y-int (0,3)
Inverse is a function
No critical points.
Graphs made at www.desmos.com
Full transcript