Question

Graph the function. Clearly show 5 points on the graph. List the vertex, axis of symmetry, and domain and range in interval notation. f(x) - 22 10+ 9 2 6 5 10 8 10 -2 10 Clear All Draw: Av vertex: axis: D: R:

Answer 1

The function f(x) = 20 is a horizontal line with a domain of [0, 20] and a range of {20}. Five points on this graph are (0, 20), (5, 20), (10, 20), (15, 20), and (20, 20). The concept of vertex and axis of symmetry are not applicable to this function as it is not a parabola.

Step-by-step explanation:

To graph the function f(x) = 20, we note that it is a horizontal line at the y-value of 20. When graphing, clearly label the graph with f(x) and x. As the function is defined for 0 ≤ x ≤ 20, the domain in interval notation is [0, 20]. The value of f(x) does not change, so the range is simply {20}, which can also be expressed as [20, 20] in interval notation. The vertex of this function is not applicable since it is not a parabola. The axis of symmetry is also not applicable for the same reason.

To illustrate the function on a graph, scale the x-axis from 0 to 20. Mark at least 5 points where x takes on values within the domain and y is always 20. These points could be (0, 20), (5, 20), (10, 20), (15, 20), and (20, 20).