Question

(HELP) What is the domain and range of this parabola?

Answer 1

The domain of a parabola is all real numbers, and the range depends on the leading coefficient of the equation.

Step-by-step explanation:

A parabola can be represented by the equation y = ax + bx², where a and b are constants. The domain of a parabola is the set of all real numbers for which the equation is defined. In this case, since there are no restrictions on the x values, the domain is all real numbers.

The range of a parabola is the set of all y values that the parabola takes on. In general, the range of a parabola can be determined by analyzing the leading coefficient of the equation. If the leading coefficient a is positive, the parabola opens upwards and the range is all real numbers greater than or equal to the y-coordinate of the vertex. If the leading coefficient a is negative, the parabola opens downwards and the range is all real numbers less than or equal to the y-coordinate of the vertex.

Answer 2

D: [0,8]

R: [0,3]

Step-by-step explanation:

The domain is the x-values covered by the graph, while the range is the y-values. So to find each, find the lowest and highest x and y value; since this graph is continuous the domain and range will include all values between these points. In this case, the lowest x is 0 and the highest is 8; the lowest y is 0 and the highest is 3. Then to write the answer write is from least to greatest, finally, surround the point by a parenthesis or bracket. The difference is that parenthesis means the value is not included while a bracket means it is. On this graph all points are included, therefore brackets should be used.