Question

The function f(x) = x] is graphed over the interval [-6, 3]. Which translation of the graph has the domain (-3, 6]? 0 A. g(x) = |x] + 3 B. g(x) = \x + 3] 0. O C. g(x) = x - 3 o D. g(x) = x - 3)​

Answer 1

An interval graph in graphical theory is indeed an undirected graph formed by an interval set just on true line, with a top for every interval as well as an edge between vertex v to intersections. Graph intervals and these graphs are chordal graphs and graphs that are perfect, and the further discussion can be defined as follows:

Given:

$\bold{function\ f(x) = |x|}$

$\bold{Interval \ \[-6, 3\]}$

To find:

Domain=?

Solution:

The $\bold{function\ f(x) = |x|}$ is a graphic over the$[-6,3]$ interval.

A graph of the domain $[-3,6 ]$ is indicated mostly by the transformation that horizontal shifts to combat $(h(x)=f(x-3))$.

$\to \bold{h(x) =f(x-3)}$

            =|x-3|

Therefore, the final answer is "Option (D)".

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