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(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

 Nov 15, 2020
 #1
avatar+114221 
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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

 

 

 

cool cool cool

 Nov 15, 2020
edited by CPhill  Nov 15, 2020

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