+38 (a)Determine the value "K" in the function f(x)=kx^2 (x-1)^3 (x+3) if its passes through the point(2,60)
(b) state the x-intercept(s) and y-intercept(s) of the function
(c) sketch a graph of the function,including x-intercept(s),y-intercepts,behavior around x-intecept(s),and end behaviour
+128406 a) We have that
60 = k (2 -1)^3 (2 +3) simplify
60 = k ( 1) ^3 * 5 divide both sides by 5 and simplify
60 = 5 k divide both sides by 5
k =12
b ) x intercepts = -3 and 1
y intercepts....let x = 0 and we have that 12 ( -1)^3 (3) = -36
c) Here's the graph : https://www.desmos.com/calculator/aucqv32fyl
