Lesson 2: 2-2 Linearity and Symmetry

How can you use algebra to show that 4x-5y=16 is a linear function?
For the linear function f(x)=.5x, what is b?
How does solving the equation x+xy=-5/8 for y show that this function is nonlinear?

linear equation
linear function
nonlinear function
line of symmetry
line symmetry
point symmetry
point of symmetry

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.
F.IF.9 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

tbd

When determining whether a function is linear, examine the structure of its equation. A linear function can be written in the form f(x)=mx+b, where m and b are real numbers. A related equation can be written in the form y=mx+b

a

none

Students can use a reflective device to check whether graphs of functions have line symmetry. Students can place the device along the proposed line of symmetry and verify if that portion of the graph is a mirror image.

Use McGraw Hill resources

Use McGraw Hill resources