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+2)(x+1)(x+4)

Answer 1

Answer:

The last one

Step-by-step explanation:

The zeros of a function f(x) are the values of x such that f(x)=0. Since the coordinate y equals f(x), we must look for the values where y=0 (x-intersect).

Since f(x) is factorized, f(x)=0 only when one of its factors equals zero.

So we have

f(x) = 0 ===> x+2 = 0 OR x+1 = 0 OR x+4 = 0

and we have

x = -2 or x = -1 or x = -4

Hence the function must intersect the x-axis at these points.

The only graph that matches the requirements is the last one.

See picture attached.