Question

The weight in pounds that can be supported by a diving board is given by the function w (x) = 5000/x , where x is the distance in feet from the base of the diving board to a point along the length of the board.a. What is the domain of the function? Can the domain include zero? Explain.b. Make a table of values and generate five ordered pairs to represent the function.c. Plot the ordered pairs and draw a smooth curve connecting the points.Please help me.it is due very soon and you have to answer A,B,C, MERRY CHRISTMAS

Answer 1

Domain of a function refers to the set of possible input value, all the input values shown on the x-axis (x--values), then we can say that:

a. Domain of the functions is all real numbers excluding zero, because a number divided by 0 it's undefined.

b. To make a table of values, we can use the x-values you want and substitute it in the function, I'm going to use x=1 to x=5

The graph would be:

Five ordered pairs generated:

(1, 5000)

(2, 2500)

(3, 1666.6)

(4, 1250)

(5, 1000)