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y = mx +b

Kristen Bullock

Created on November 9, 2023

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Transcript

Unit 3 - Functions

What is a function?

Flashcards

Function vs. Not a Function

Does not pass the vertical line test

Passes the vertical line test

VS

An input (x-value) has more than 1 output (y-value) matched to it.

Every input (x-value) has exactly 1 output (y-value)

x-values do not repeat with different y-values

x-values repeat with different y-values

Linear vs. Nonlinear

Parts of a linear function

y = mx + b

  • y-intercept
  • initial value
  • (0, y)
  • output
  • dependent variable
  • range
  • slope
  • rate of change
  • rise/run
  • change in y-values/
change in x-values
  • input
  • independent variable
  • domain

Finding slope (rate of change) given...

An input/output table

2 points (ordered pairs)

A graph

Verbal description

Finding y-intercept (initial value) given...

An input/output table

2 points (ordered pairs)

A graph

Verbal description