Questions: QUESTION 3 The points on the graph where y=0 go by several names. Sometimes they are called x-intercepts, sometimes boundary points, sometimes roots and sometimes zeroes. Each of these values is a place where your function crosses the x-axis. A) For each of these points f(x)= (enter a number) B) These types of points are called - x-intercepts - vertical asymptotes - y-intercepts - horizontal asymptotes

QUESTION 3

The points on the graph where y=0 go by several names. Sometimes they are called x-intercepts, sometimes boundary points, sometimes roots and sometimes zeroes. Each of these values is a place where your function crosses the x-axis.
A) For each of these points f(x)= (enter a number)
B) These types of points are called
- x-intercepts
- vertical asymptotes
- y-intercepts
- horizontal asymptotes

Transcript text: QUESTION 3 The points on the graph where $y=0$ go by several names. Sometimes they are called $x$-intercepts, sometimes boundary points, sometimes roots and sometimes zeroes. Each of these values is a place where your function crosses the $x$-axis. A) For each of these points $f(x)=$ $\square$ (enter a number) B) These types of points are called $x$-intercepts vertical asymptotes $y$-intercepts horizontal asymptotes

Solution

Solution Steps

Step 1: Identify the x-intercepts

The x-intercepts are the points where the graph crosses the x-axis. These are the points where $ y = 0 $.

Step 2: Determine the x-coordinates of the x-intercepts

From the graph, identify the x-coordinates where the graph crosses the x-axis. These points are approximately at $ x = -5 $, $ x = -1 $, and $ x = 3 $.

Step 3: Classify the points

The points where the graph crosses the x-axis are called x-intercepts.