Question

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 − 1)(x + 1).

Answer 1

Should be the one that has a maximum at around 6 on the y-axis and the minimun should be right after going through 2 on the x-axis.

Explanation:

I know it's not super specific, so if you want a better answer just paste the function into a graphing calculator and compare it to the possible answers.

Answer 2

Graph attached

Explanation:

Graph Of The Cubic Function

The cubic function can have one or three real zeros. Each zero corresponds to a point in the x-axis where the value of y is zero. When the coefficient of the cubic term is positive, the function is increasing, then decreasing and finally increasing.

The given function is

f(x)=(x - 3)(x - 1)(x + 1)

There are no options to choose from but I'm including a graph with a plot of f(x) plus the table of values to improve the sketch with more details. The zeros, maximum and minimum values can be clearly seen