Creat an equation for a cubic function, in standard form, that has x- intercept given by the set {-3,1,7} and which passes through the points (-2,54)

Given :

Set of x-intercepts {-3,1,7},

point through which it passes (-2,54)

Now,

Step 1: Substitute value of x intercepts in equation, , we get,

              ... equation (1)

Step 2: substitute x an y with the point through which it passes,

∴

Step 3: Now, substituting value of a in equation (1), we have

  (Requited cubic equation)

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see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph