Key Features of Functions in Algebra I

This video tutorial by eMath Instruction covers key features of graphs of functions, including minimum and maximum values, y-intercepts, x-intercepts (zeros), and intervals where functions are increasing or decreasing. Through exercises, students learn to analyze graphs and build functions with specific features. The tutorial emphasizes understanding graph terminology and applying it to various types of functions.

What is the output value of a function commonly referred to as?

• Y value

• Input value

• X value

• Z value

Where does the minimum value of a function occur on a graph?

• At the y-intercept

• At the x-intercept

• At the lowest y value

• At the highest point

What is the y-intercept of a function?

• The x value where the function crosses the x-axis

• The y value where the function crosses the y-axis

• The point where the function is zero

• The highest point on the graph

What are the zeros of a function?

• The x values where y is zero

• The y values where x is zero

• The points where the function is undefined

• The highest points on the graph

How do you determine if a function is increasing over an interval?

• By checking if the y values are decreasing

• By checking if the function crosses the x-axis

• By checking if the x values are decreasing

• By checking if the y values are increasing as x increases

What does it mean for a function to be decreasing over an interval?

• The y values are increasing as x increases

• The function is at its maximum value

• The y values are decreasing as x increases

• The function is crossing the y-axis

What is a turning point on a graph?

• The lowest point on the graph

• The highest point on the graph

• A point where the function crosses the x-axis

• A point where the function changes from increasing to decreasing or vice versa

In which interval is a function considered positive?

• Where the function crosses the y-axis

• Where the function is above the x-axis

• Where the function is at its maximum value

• Where the function is below the x-axis

What is the y-intercept of a function with the point (0, -2)?

• 0

• 2

• -1

• -2

If a function has zeros at x = -7, -2, 4, and 8, where is it negative?

• Between -2 and 8

• Between -2 and 4

• Between -7 and -2, and between 4 and 8

• Between -7 and 4