Question

The distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on your distance x, in meters, from the stabilized point. This relationship can be modeled by the function.

d(x)=â4x^3+x^2.
Evaluate d(x) for x = 1 and x = 2

Answer 1

d(1) = -3 and d(2)= -28

Explanation:

Given that the distance d, in centimeters, that a diving board bends below its resting position when you stand at its end is dependent on your distance x, in meters, from the stabilized point

`d(x)=-4x^3+x^2`

For finding out the distances for x=1 and x=2

let us substitute 1 and 2 for x

`d(1) = -4(1^3)+1^2 = -3`

`d(2) = -4(2^3)+2^2 \\= -28`

d(1) = -3 and d(2)= -28