question archive Consider the function f(x)=4x3-15x2+12x+7 on the interval [-1,3]

Consider the function f(x)=4x3-15x2+12x+7 on the interval [-1,3]

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Consider the function f(x)=4x3-15x2+12x+7 on the interval [-1,3]. 

Find all x and y intercepts. Specify the answers as ordered pairs. You may use a calculator to help determine the x-intercept(s).

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Step-by-step explanation

Good afternoon !

 

Let: ?f(x)=4x3−15x2+12x+7?

 

Cut with x, we make y = 0

 

So: ?4x3−15x2+12x+7=0? using the calculator

 

??x≈−0.3822?

 

???P1?(−0.3822,0)?? Cut with "x"

 

Cut with y, we make x = 0

 

So:?y=403−15⋅02+12⋅0+7=7?

 

??P2?(0,7)? Cut with "y"

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