Question

determine the graphs end behavior. find the x-intercepts and y-intercept. determine whether the graph has symmetry. determine the graph of the function.\\(f(x)=x^3 + 2x^2 - x - 2\\)\
b. what are the x-intercepts?\
x = -2, -1, 1 (use a comma to separate answers as needed.)\
at which x-intercept(s) does the graph cross the x-axis? select the correct choice below and, if necessary, fill in the answer box to complete your choice\
a. x = -2, -1, 1 (use a comma to separate answers as needed.)\
b. there are no x-intercepts at which the graph crosses the x-axis.\
at which x-intercept(s) does the graph touch the x-axis and turn around? select the correct choice below and, if necessary, fill in the answer box to complete your choice.\
a. x = (use a comma to separate answers as needed.)\
b. there are no x-intercepts at which the graph touches the x-axis and turns around.\
c. find the y-intercept by setting x equal to 0 and computing f(0).\
the y-intercept is y = \\(\square\\)

Explanation:

Step1: Substitute x = 0 into the function

To find the y - intercept, we use the function \( f(x)=x^{3}+2x^{2}-x - 2 \) and substitute \( x = 0 \) into it. So we calculate \( f(0)=(0)^{3}+2\times(0)^{2}-0 - 2 \).

Step2: Simplify the expression

First, calculate each term: \( (0)^{3}=0 \), \( 2\times(0)^{2}=0 \), and \( - 0=0 \). Then we have \( f(0)=0 + 0-0 - 2=-2 \).

Answer:

-2