True or explain why if false let the function f be differentiable on an interval i containing c. if f has a maximum value at x = c, then f has a minimum value at x = c. a cubic function defined by f(x)= ax^3+bx^2+cx+d where a does not equal 0 will always have exactly three critical numbers

As this is a trinomial function I believe the answer is true due to the fact that a trinomial curve consists of three parabolic curves in which each has its own respective minimum or maximum value i.e. critical number.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

are ya tryin to ask something or is this a statement