Use what you know about zeros of a function and end behavior of a graph to choose the graph that matches the function f(x)=(x-3)(x-2)(x+1)

Givens:

We have a function with three roots, this means that it's a cubic function, and always increase without bound, this cubic functions increases at both ends, they don't have any restriction because they are polynomial functions. Also, we know that this function must intercept x-axis three times, because each solution represents an interception. So, these interceptions are at , because these three x-values makes f(x) = 0.

So, if we graph this function we would have a behaviour like the image attached. You can observe the interception we deducted from the expression and the increasing and decreasing

3

step-by-step explanation:

because where the point where the 2 lines intersect is (3,-1) the x value is 3

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.