4. Linear Functions

4.01 Review: Slope as rate of change

4.02 The slope formula

4.03 Transformations of y=x

Investigation: Exploring slopes and equations of lines

4.04 Slope-intercept form

4.05 Standard form

Investigation: Relationship between shoulder span and height

4.06 Point-slope form

4.07 Graphical solutions to linear equations or inequalities

4.08 Graphing linear inequalities in two variables

4.09 Modeling linear relationships

4.10 Comparing linear relationships

4.11 Arithmetics sequences as linear functions

4.12 Graphs and characteristics of absolute value functions

United States of America OH

High School

4.03 Transformations of y=x

Interactive practice questions

On which of the following graphs is the linear function $decreasing$ ?

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A

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B

Easy

< 1min

The lines $y=x+2$y=x+2 (black line) and $y=x$y=x (gray line) have been graphed on the same set of axes.

Easy

< 1min

Consider the graph of $y=-4x$y=−4x.

Easy

< 1min

Consider the graph of $y=x-4$y=x−4.

Easy

1min

Outcomes

F.IF.4b

Focus on linear, quadratic, and exponential functions.

F.IF.7a

Graph linear functions and indicate intercepts.

F.BF.3a

Identify the effect on the graph of replacing f(x) by f(x) + k, kf(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. Focus on transformations of graphs of quadratic functions, except for f(kx);

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