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On the coordinate grid, the graph of y = 3x - 1 + 3 is
What is the domain of the graphed function?
shown. It is a translation of y = 3x.
Ty
{x 1 O {y|1 < y<5}
{x x is a real number}
O {yly is a real number}
6
5

On The Coordinate Grid The Graph Of Y 3x 1 3 Is What Is The Domain Of The Graphed Function Shown It Is A Translation Of Y 3x Ty X 1 O Y1 Lt Ylt5 X X Is A Real N class=

Sagot :

Step-by-step explanation:

the domain is the interval or set of all valid input values (values of x).

while the range is the interval or set of all valid result values (y values).

so, we don't need to look at the answer options dealing with y. the domain only concerns x.

and when you look at the graph it shows you that every number on the x-axis from all the way to the left to all the way to the right is valid (from -infinity to +infinity).

and the function itself (the cubic root of x) did not provide any theoretical limits. you can take the cubic root from any number, positive or negative.

therefore, the third answer option is correct (all x, where x is a real number).

The domain of the function is the set of all real numbers, written as:

D: {x| x ∈ R}

How to find the domain of a function?

The domain of a function f(x) is assumed to be the set of all real numbers, and then we remove the problematic points.

Problematic points can be zeros in denominators, or negative arguments in square roots, for example.

In this case, our function is:

f(x) = ∛(x - 1)  + 3

As you may know, we can input any real value in a cubic root and it will not generate any problem, and we don't have any denominator here, so there are no problematic points.

Thus, the domain of this function is just the set of all real values, written as:

D: {x| x ∈ R}

If you want to learn more about domains, you can read:

https://brainly.com/question/1770447