Question

Graph the function y = –cos(x) + 7 and explain how to find the number of times the gum returns to the wall as it travels a distance of 60 feet.

Answer 1

The gum returns to the wall each time the graph shows a minimum value of 6 (the height of the wall).

Count the number of minimums that occur between x = 0 ft and x = 60 (but omit the first time when x = 0).

The gum returns to the wall 9 times while traveling a distance of 60 feet.

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Answer 2

The number of times the graph touches the bottom line is 9.

Explanation:

We have been given the function:

`y=-cos(x)+7`

We will first graph the given function And since, we have to find number of gums returns to the wall as it travels a distance of 60 feet.

So we will count the number of times the graph touches the bottom line till the point x=60

You can look at the graph attached in the attachment.

The number of times the graph touches the bottom line is 9.