11. Modeling with Functions

11.01 Review: Relations and functions

11.02 Function families and transformations

11.03 Choosing appropriate models

11.04 Domain and range and continuity

11.05 Characteristics from a graph

11.06 Average rates of change

11.07 Comparing function types

11.08 Solutions from a graph

11.09 Operations with functions

11.10 Inverse relations and functions

11.11 Applications of quadratic functions

Investigation: Sine waves and music

Investigation: Modeling tsunami movement

11.12 Fitting functions to quadratic data

United States of America UT

Math III

11.05 Characteristics from a graph

Interactive practice questions

On which of the following graphs is the linear function $decreasing$ from left to right?

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A

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B

Easy

< 1min

Consider the following graph.

Easy

1min

The graph of the function $y=f\left(x\right)$y=f(x) is shown.

Easy

< 1min

The graph of the function $y=f\left(x\right)$y=f(x) is shown.

Easy

< 1min

Outcomes

III.F.IF.4

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity

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