# SOLUTION: Graph f(x)=x^4-4x^2 First find the x-intercepts then evaluate f(-3),f(-1),f(1),f(3)

Algebra ->  -> SOLUTION: Graph f(x)=x^4-4x^2 First find the x-intercepts then evaluate f(-3),f(-1),f(1),f(3)      Log On

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 Question 113794: Graph f(x)=x^4-4x^2 First find the x-intercepts then evaluate f(-3),f(-1),f(1),f(3)Answer by jim_thompson5910(29613)   (Show Source): You can put this solution on YOUR website! Start with the given function Factor out the GCF Factor using the difference of squares to get Now to find the x-intercepts, set equal to zero and solve for x Break up the equation using the zero product property , or , or Solve for x in each case So our solutions are , or which means the x-intercepts are (0,0), (2,0), and (-2,0) Notice if we graph, we get and we can see that the x-intercepts are (0,0), (2,0), and (-2,0) ------------------------------------------------------------------------ Let's evaluate Start with the given function. Plug in . In other words, replace each x with -3. Evaluate to get 81. Evaluate to get 9. Multiply -4 and 9 to get -36 Now combine like terms -----------Now let's evaluate another value--------- Let's evaluate Start with the given function. Plug in . In other words, replace each x with -1. Evaluate to get 1. Evaluate to get 1. Multiply -4 and 1 to get -4 Now combine like terms -----------Now let's evaluate another value--------- Let's evaluate Start with the given function. Plug in . In other words, replace each x with 1. Evaluate to get 1. Evaluate to get 1. Multiply -4 and 1 to get -4 Now combine like terms -----------Now let's evaluate another value--------- Let's evaluate Start with the given function. Plug in . In other words, replace each x with 3. Evaluate to get 81. Evaluate to get 9. Multiply -4 and 9 to get -36 Now combine like terms