Y X 3 Domain And Range

In this case there is no real number that makes the expression undefined.

Y x 3 domain and range. X 3 is a polynomial which means its domain is rr and in our case its range is also rr because the only root that x 3 has 0 is not a double root technically it s a triple root and because 3 is odd the function switches sign. The domain and range of a function is all the possible values of the independent variable x for which y is defined. Graph 1 x 3 10 10 5 5 as you can see the x never equals 3 there is a gap at that. The lowest y value is negative infinity.

Rr 0 or oo 0 uu 0 oo you can t divide by zero meaning the denominator of the fraction cannot be zero so x 3 0 x 3 thus the domain of the equation is rr 3 or oo 3 uu 3 oo alternately to find the domain and range look at a graph. 1 2 specifying or restricting the domain of a function. Look at what those values will give for y. The domain is your x values.

Keep going left and look for a stopping place which is not possibly the range of low x values is infinite. Both the domain and range are all real numbers or rr. As a function table and as a set of coordinates. Using the graph i ve provided you find the lowest x value.

Check a positive and a negative and 0 or if there are spots that are not allowed check on both sides of that. The domain is all real numbers. The example below shows two different ways that a function can be represented. Find the domain and range y 3 x y 3x y 3 x the domain of the expression is all real numbers except where the expression is undefined.

There is no point were this function is undefined. Whats the domain and range of a y x 3 b y x thousands raised for students using taco bell wifi. Find the domain and range y x 3 y x3 y x 3 the domain of the expression is all real numbers except where the expression is undefined. Negative infinity positive infinity range.

The range of a function is all the possible values of the dependent variable y. Solution the function is defined for all real x the vertex of the function is at 1 1 and therfore the range of the function is all real y 1. Graph x 2 3 10 10 5 5 domain. In this case there is no real number that makes the expression undefined.

Rr 3 or oo 3 uu 3 oo range.