SOLUTION: Give the x-intercepts, the table of signs and the sketch of the graph. f(x) = (x + 3)^2 (x + 1)^3

Algebra ->  Graphs -> SOLUTION: Give the x-intercepts, the table of signs and the sketch of the graph. f(x) = (x + 3)^2 (x + 1)^3      Log On


   

Question 987566: Give the x-intercepts, the table of signs and the sketch of the graph.
f(x) = (x + 3)^2 (x + 1)^3
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
f is shown in factored form. x-intercepts are -3 and -1. 
INTERVAL      -infinity%3Cx%3C-3     -3%3Cx%3C-1        -1%3Cx%3Cinfinity
SIGN CHECK     (-)^2(-)^3         (+)^2(-)^3     (+)^2(+)^2
SIGN           (-)                (-)             (+)

f changes signs and crosses the x-axis at x=-1 but just touches the x-axis at x=-3.

graph%28300%2C300%2C-5%2C2%2C-3%2C3%2C%28x%2B3%29%5E2%28x%2B1%29%5E3%29