Y 3x 2 Domain X 0
Use the slope intercept form to find the slope and y intercept.
Y 3x 2 domain x 0. Www mathematice it come si trova il dominio di una funzione alcune indicazioni indice il dominio campo di esistenza insieme di definizione di una funzione f x è l insieme dei valori x per cui esiste la funzione. Then domain of g x r for all x r for range let g x y. Domain is all real numbers range is all numbers over 0 0 oo one thing that you have to remember is that when you are finding the domain of a polynomial it is all real number. Generalmente si deve trovare il dominio di una funzione formata a partire da più funzioni base.
Y y in rr y 0 graph 3x 2 10 10 5 5. Therefore the domain is all real values for x ie rr oo oo the range is all y values greater than or equal to zero ie y in 0 oo. The slope of the line is the value of and the y intercept is the value of. X x in rr range.
As we have g x 3x 2 domain for the value of x g x r. The domain of the expression is all real numbers except where the expression is undefined. The range is the set of all valid values. Y y in rr y 0 y 3x 2 is a quadratic function all quadratic functions have a domain of all real numbers.
Consider the function given. It runs from oo oo for finding the range in a quadratic formula you have to find when the finction has it s vertex. The usual things that rule an x out are you can t divide by zero you can t take the square root of a negative number you can t take a logarithm of a negative number the function is defined only over a certain interval e g. X x in rr the x and y intercepts are both zero so the vertex is 0 0 since the coefficient of x 2 is positive the parabola opens up and has a minimum so the range is.
Tap for more steps. Find the values of and using the form. Find the domain and range y 3x 2. In this case there is no real number that makes the expression undefined.
Color red y f x 3x 2 color green step 1 create a data table as shown. Y in rr 0 oo y 3x 2 is defined for all real values of x 3x 2 0 and rarr oo as abs x rarr oo. X in rr range. That is the place that the max or min happens and then you can find the range from there.
X and y values are available both for the parent function and the given function. When we graph it will help to understand the presence of a numeric value as the coefficient of the x 2 term and its influence on the shape of the graph.