Unit 7, Lesson 11
Zeros of Functions and Intercepts of Graphs
Extra Support Materials for Algebra 1
These materials, when encountered before Algebra 1, Unit 7, Lesson 11, support success in that lesson.
Preparation
Lesson Narrative
The purpose of this lesson is to strengthen connections between zeros of a function (the input or inputs when the output is 0), the output when the input is 0, and the coordinates of the intercept(s) of a graph of the function. Taken as a whole, this lesson can be considered a precursor for the Warm-up in the associated Algebra 1 lesson, when students will identify the coordinates of the intercepts of a graph of a given function. These activities provide a chance to make sense of problems and persevere in solving them (MP1). As students use the format of equations and graphs they are familiar with, they can look for and make use of structure to make connections (MP7).
- Determine the $x$- or $y$-intercept for the graph of a function by evaluating the function for an input that results in an output of 0 ($x$-intercept) and the output that results from an input of 0 ($y$-intercept).
- Identify the $x$- and $y$-intercepts of various equations and graphs, to determine which equation and graph represent the same function.