The domain is all the possible x -values, which range from −2 to 2. So the domain is {−2,−1,0,1,2}.
The range is all the possible y -values, which range from −2 to 4. So the range is {−2,−1,0,1,2,3,4}.
The domain and range of a relation are the sets of all the x-coordinates and all the y-coordinates of ordered pairs respectively.
The domain and range of a function are the components of a function. The domain is the set of all the input values of a function and the range is the possible output given by the function
The domain of a function refers to the set of all conceivable input values that the function can take, typically denoted by the variable x.
In the case of the provided graph, the domain encompasses the x-values ranging from -2 to 2, yielding a discrete set
{−2,−1,0,1,2}.
Conversely, the range of a function embodies the spectrum of conceivable output values, typically denoted by the variable y.
For the depicted quadratic function, the range spans from -2 to 4, constituting the set
{−2,−1,0,1,2,3,4}.
This range illustrates the possible vertical positions occupied by points on the graph.
The graph's quadratic nature implies that it follows a second-degree polynomial equation.
The vertex of the parabolic curve, located at the coordinates (0,0), is pivotal in determining its behavior. With an upward orientation, the parabola opens towards positive
y-values.
This characteristic implies that the range of the function encompasses all real numbers greater than or equal to the minimum y-value, which, in this case, is -2.
In essence, the comprehensive understanding of the domain, range, and vertex facilitates a profound comprehension of the depicted quadratic function and its behavior across the entire set of possible input values.