What is the graph of y = 3jx|?
Ο Α.
5
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Answers
Note: Your question sounds a little unclear and incomplete. I assume you want to get the idea about the graph of 3|x|. My answer may still clear your concept about the graphs.
Answer:
The graph of y=3|x| is attached below.
Step-by-step explanation:
Given the function
[tex]y=3\left|x\right|[/tex]
Determining the domain:
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
The function has no undefined points nor domain constraints. Therefore, the domain is:
[tex]-\infty \:<x<\infty \:[/tex]
Determining the range:
We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
[tex]\mathrm{The\:range\:of\:an\:absolute\:function\:of\:the\:form}\:c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=0[/tex]
[tex]f\left(x\right)\ge \:0[/tex]
Thus,
[tex]\mathrm{Range\:of\:}3\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Determining the x-intercept and y-intercept:
From the graph, it is clear that at x=0, y=0. Therefore, the y-intercept is (0, 0)From the graph, it is clear that at y=0, x=0. Therefore, the y-intercept is (0, 0)The graph of y=3|x| is attached below.
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