Rate of Change - Linear Functions

Presentation

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Mathematics

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8th Grade

•

Medium

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CCSS

8.F.A.1, 8.F.B.4, HSF.IF.B.6

Standards-aligned

Frances Hale

Used 4+ times

FREE Resource

9 Slides • 2 Questions

Rate of Change - Linear Functions

From yesterday: constant rate function

Apple function:

Input: number of apples, Output: price
Could inputs be decimal numbers, ie 1.5 or 2.7?

Discrete Function

A function that includes only specific inputs, rather than all possible inputs within a range. The inputs are distinct and separate.

Examples of Discrete Functions

Anything that cannot have partial inputs
Buying fruit (can't buy part of an apple)
Number of TVs in a household (can only have whole TVs)
Number of people (cannot have partial person)

Multiple Choice

What is a discrete function?

A function that has has only specific and distinct inputs.

A function that has all possible inputs in a continuous range.

Which of these functions appear to be linear?

Rate of change in a linear function:

$\frac{\text{change in y}}{\text{change in x}}=\ \frac{\text{change in output}}{\text{change in input}}$

Multiple Choice

What fraction do we use to compute rate of change of a function?

$\frac{\text{change in input}}{\text{change in output}}$

$\frac{\text{change in output}}{\text{change in input}}$

$\frac{\text{change in y}}{\text{change in x}}=\ \frac{\text{change in output}}{\text{change in input}}$ : rate of change will be constant in linear functions

Rate of Change - Linear Functions

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