Domain And Range Of Y X 2 4x 5
Range x is less than or equal to 9.
Domain and range of y x 2 4x 5. The example below shows two different ways that a function can be represented. As a function table and as a set of coordinates. Enter your queries using plain english. Domain of log x x 2 1 x 2 1 domain.
Axis of symmetry x b 2a. The domain of the expression is all real numbers except where the expression is undefined. Find the domain and range y x 2 5. Domain and range tips for entering queries.
The parabola giving us all real numbers is the domain. 6 oo y x 2 2x 5 y is defined forall x in rr hence the domain of y is oo oo y is a quadratic function of the form ax 2 bx c the graph of y is a parabola with vertex where x b 2a since the coefficient of x 2 0 the vertex will be the absolute minimum of y at the vertex x 2 2xx1 1. Find the domain of 1 e 1 x 1 function domain. Square root of cos x.
Here are some examples illustrating how to ask for the domain and range. To find the range. The domain of the expression is all real numbers except where the expression is undefined. In this case there is no real number that makes the expression undefined.
The range is the set of all valid values. In this case there is no real number that makes the expression undefined. Y 0 4. What is the range and domain of the function.
Y min y 1 1 2 5 6 since y has no upper bound the range. Substitute the x value in y x 2 4. In the minimum point y 4 so the graph of parabola cannot be. Locate the vertex of the parabola.
Range 9 y. Find the domain and range y x 2. In this case there is no real number that makes the expression undefined. Find the domain and range f x x 2 4x 5.
The range is the set of all valid values. Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor. The domain and range of a function is all the possible values of the independent variable x for which y is defined. The domain of the expression is all real numbers except where the expression is undefined.
To avoid ambiguous queries make sure to use parentheses where necessary.