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
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Solution

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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 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 = -5 , x=−1 x = -1 , and x=3 x = 3 .

Step 3: Classify the points

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

Final Answer

  • The x-intercepts are at x=−5 x = -5 , x=−1 x = -1 , and x=3 x = 3 .
  • These types of points are called x-intercepts.
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