A graph of a function has zeros at -4, 2, and 5. For the interval x < -4 the graph is positive. For the interval -4 5 the graph is positive. Sketch a possible graph that meets the criteria above.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Use the example to help you sketch a graph.

 

the question for the example was: A function f has zeros at -1, 3, and 5. We know that f(-2) and f(2) are negative, while f(4) and f(6) are positive. Sketch a graph of f.

A graph of a function has zeros at -4, 2, and 5.
For the interval x <-4 the graph is positive.
For the interval -4 < x < 2 the graph is negative.
For the interval 2<x< 5 the graph is negative.
For the interval x > 5 the graph is positive.
Sketch a possible graph that meets the criteria above.
5
DAMAN
6
3
[HIN!!
HAIN
1 $
Transcribed Image Text:A graph of a function has zeros at -4, 2, and 5. For the interval x <-4 the graph is positive. For the interval -4 < x < 2 the graph is negative. For the interval 2<x< 5 the graph is negative. For the interval x > 5 the graph is positive. Sketch a possible graph that meets the criteria above. 5 DAMAN 6 3 [HIN!! HAIN 1 $
From the information given, the graph of f lies below the x-axis for x < −1 and −1 < x < 3 and that it touches the
x-axis at -1. Similarly, we know that the graph off lies above the x-axis for 3 < x < 5 and 5 < x and that it
touches the x-axis at 5. We also know that the graph crosses the x-axis at 3.
M
y
5
Transcribed Image Text:From the information given, the graph of f lies below the x-axis for x < −1 and −1 < x < 3 and that it touches the x-axis at -1. Similarly, we know that the graph off lies above the x-axis for 3 < x < 5 and 5 < x and that it touches the x-axis at 5. We also know that the graph crosses the x-axis at 3. M y 5
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