Graph each function. Then identify the vertex, domain, and range. F(x)= 3|x|-3

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03-11-2022
Mathematics

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Graph each function. Then identify the vertex, domain, and range. F(x)= 3|x|-3

Sagot :

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ZalanZ561702idn ZalanZ561702idn · Answer 1 · 2022-11-03T20:33:34-04:00

The plot of the absolute value function is

Let's start first by getting the domain and range of the given absolute value function

[tex]f(x)=3|x|-3[/tex]

The function will have a corresponding value for any value of x. This means that the domain of the function is all real.

Using the plot as a basis to find the range of the function, the function shows vertex at (0,-3). This means that the function has a value starting from y = -3 up to positive infinity. Hence, the range of the function is

[tex]\text{range}=\lbrack-3,\infty)[/tex]

The vertex of the absolute value of the function is the encircled point in the figure below.

Base on the plot, the vertex exists at (0, -3).

Sagot :

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