MA19.8A.20

Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.20
Explain why the x-coordinates of the points where the graphs of the equations $y = f(x)$ and $y = g(x)$ intersect are the solutions of the equation $f(x) = g(x)$.

Unpacked Content

Knowledge

Students know:

Defining characteristics of linear, quadratic, absolute value, and exponential graphs.
Methods to use technology, tables, and successive approximations to produce graphs and tables.

Skills

Students are able to:

Determine a solution or solutions of a system of two functions.
Accurately use technology to produce graphs and tables for linear, quadratic, absolute value, and exponential functions.
Accurately use technology to approximate solutions on graphs.

Understanding

Students understand that:

When two functions are equal, the x coordinate(s) of the intersection of those functions is the value that produces the same output (y-value) for both functions.
Technology is useful to quickly and accurately determine solutions and produce graphs of functions.

Vocabulary

Functions
Successive approximations
Linear functions
Quadratic functions
Absolute value functions
Exponential functions
Intersection point(s)

Design by Adaptive Theme