Linear functions

OpenStax

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Introduction to linear functions

Linear functions

1 Representing linear functions

2 Representing a linear function in word form

3 Representing a linear function in function notation

4 Representing a linear function in tabular form

5 Representing a linear function in graphical form

6 Determining whether a linear function is increasing, decreasing, or

7 Calculating and interpreting slope

8 Writing the point-slope form of a linear equation

9 Writing the equation of a line using a point and the slope

10 Writing the equation of a line using two points

11 Writing and interpreting an equation for a linear function

12 Modeling real-world problems with linear functions

13 Key equations

14 Key concepts

15 Section exercises

22 Real-world applications

Graphs of linear functions

1 Graphing linear functions

2 Graphing a function by plotting points

3 Graphing a function using y- Intercept and slope

4 Graphing a function using transformations

5 Vertical stretch or compression

6 Vertical shift

7 Writing the equation for a function from the graph of a line

8 Finding the x -intercept of a line

9 Describing horizontal and vertical lines

10 Determining whether lines are parallel or perpendicular

11 Writing the equation of a line parallel or perpendicular to a given

12 Writing equations of parallel lines

13 Writing equations of perpendicular lines

14 Solving a system of linear equations using a graph

15 Key concepts

16 Section exercises

21 Real-world applications

Modeling with linear functions

1 Identifying steps to model and solve problems

2 Building linear models

3 Using a given intercept to build a model

4 Using a given input and output to build a model

5 Using a diagram to model a problem

6 Building systems of linear models

11 Real-world applications

Fitting linear models to data

1 Drawing and interpreting scatter plots

2 Finding the line of best fit

3 Recognizing interpolation or extrapolation

4 Finding the line of best fit using a graphing utility

5 Distinguishing between linear and non-linear models

6 Predicting with a regression line

8 Section exercises

15 Real-world applications

16 Chapter review exercises

17 Linear Functions

18 Graphs of Linear Functions

19 Modeling with Linear Functions

20 Fitting Linear Models to Data

21 Practice test

Source: OpenStax, Precalculus. OpenStax CNX. Jan 19, 2016 Download for free at https://legacy.cnx.org/content/col11667/1.6

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