The domain is from negative infinity to positive infinity. The range is from positive 2 to positive infinity.
y=-x^2 +7 The range is the possible values of y for all acceptable values of x. In this case x can be anything, so at its smallest value of 0, y=7, and at its largest value of infinity, y=negative infinity, so the range is negative infinity to 7.
The range of a cubic parent function, which is defined as ( f(x) = x^3 ), is all real numbers. This is because as ( x ) approaches positive or negative infinity, ( f(x) ) also approaches positive or negative infinity, respectively. Therefore, the function can take any value from negative to positive infinity. In interval notation, the range is expressed as ( (-\infty, \infty) ).
7
No, the range of a quadratic function is not all real numbers. A quadratic function, typically in the form ( f(x) = ax^2 + bx + c ), has a parabolic shape. If the coefficient ( a ) is positive, the range is all real numbers greater than or equal to the minimum point (the vertex), while if ( a ) is negative, the range is all real numbers less than or equal to the maximum point. Thus, the range is limited to values above or below a certain point, depending on the direction of the parabola.
The domain is from negative infinity to positive infinity. The range is from positive 2 to positive infinity.
y=-x^2 +7 The range is the possible values of y for all acceptable values of x. In this case x can be anything, so at its smallest value of 0, y=7, and at its largest value of infinity, y=negative infinity, so the range is negative infinity to 7.
The range of a cubic parent function, which is defined as ( f(x) = x^3 ), is all real numbers. This is because as ( x ) approaches positive or negative infinity, ( f(x) ) also approaches positive or negative infinity, respectively. Therefore, the function can take any value from negative to positive infinity. In interval notation, the range is expressed as ( (-\infty, \infty) ).
Integers are whole numbers that go from negative infinity to positive infinity. As such, they do cover the negative range of the number line.
7
No, the range of a quadratic function is not all real numbers. A quadratic function, typically in the form ( f(x) = ax^2 + bx + c ), has a parabolic shape. If the coefficient ( a ) is positive, the range is all real numbers greater than or equal to the minimum point (the vertex), while if ( a ) is negative, the range is all real numbers less than or equal to the maximum point. Thus, the range is limited to values above or below a certain point, depending on the direction of the parabola.
The domain and range can be the whole of the real numbers, or some subsets of these sets.
Both extend from negative infinity to positive infinity.
The domain and range are (0, infinity).Both the domain and the range are all non-negative real numbers.
Yes, but x would be a function of y, not the other (usual) way round. The domain of the function would be y in (-infinity, +infinity) and the range x in [0, +infinity).
The range of a function when you consider a graph is how high and how low it goes. A quadratic function is usually an arch that goes up to a high point and then back down like the arch of a kicked ball. Or, it can be the reverse which goes down and then up in a mirror image of a kicked ball. The range is what y values would be needed to show ALL the graph. Example; y=x^2+5x-6 The graph crosses the x axis at -5 and 1 it goes down then back up. The range is from infinity down to -49/4
The signed integer range extends only from negative infinity to positive infinity. You have to make up your own names and symbols for whole numbers that are not included in that range.