Question

What is the graph of y = 3jx|?
Ο Α.
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Answer 1

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.

Explanation:

Given the function

`y=3\left|x\right|`

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:

`-\infty \:<x<\infty \:`

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.

`\mathrm{The\:range\:of\:an\:absolute\:function\:of\:the\:form}\:c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k`

`k=0`

`f\left(x\right)\ge \:0`

Thus,

`\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}`

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.