Problema Solution

The function f(x) = -x2 - 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?

Answer provided by our tutors

lets find the zero of the function: f(x) = -x^2 - 9x + 10


-x^2 - 9x + 10 = 0


by solving we find:


x1 = 1


x2 = -10


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Since there is no negative distance, we only have x = 1


the zero of f(x), x = 1 means the diver hits the water 1 foot away horizontally from the board.