College Algebra & Trigonometry, 2018a

240 CHAPTER 4. FUNCTIONS
Exercises 4.9(a)
1) Given the function f(x) =4− x 2 , find x and y coordinates of the point on
the curve that is closest to the point (7, 3). How far away from the point (7, 3) is
the point you found?
2) Given the function f(x) =6− x 2 , find x and y coordinates of the point on
the curve that is closest to the point (1, 1). How far away from the point (1, 1) is
the point you found?
3) Given the function f(x) =x 2 +2x − 5, find x and y coordinates of the point
on the curve that is closest to the point (−2, 5). How far away from the point
(−2, 5) is the point you found?
4) Given the function f(x) =x 2 − 5x +8, find x and y coordinates of the point
on the curve that is closest to the point (−2, 2). How far away from the point
(−2, 2) is the point you found?
5) Given the function f(x) =x 3 − 4x 2 +2x +1, find x and y coordinates of the
point on the curve that is closest to the point (2, 1). How far away from the point
(2, 1) is the point you found?
6) Given the function f(x) =2x 3 − 5x − 1, find x and y coordinates of the point
on the curve that is closest to the point (−2, 8). How far away from the point
(−2, 8) is the point you found?