Mathematics: The function shown in this graph is f(x)=?

What is your question? There is no question here...

The function shown in this graph is f(x)=? - id2647933, garcialopez162017

jakobquittner

04.01.2022

The correct option is 2.

Step-by-step explanation:

If the graph of a polynomial intersect the x-axis at a_1,a_2,...,a_n , then the polynomial is defined as

P(x)=a_0(x-a_1)(x-a_2)...(x-a_n)

From the given graph it is clear that the x-intercepts of the function are -2, 1 and 3. So the required function is

f(x)=a_0(x+2)(x-1)(x-3)

The y-intercept of the graph is at (0,6).

6=a_0(0+2)(0-1)(0-3)

6=6a_0

1=a_0

The value of a_0 is 1. So the required function is

f(x)=(x+2)(x-1)(x-3)

f(x)=x^3 - 2 x^2 - 5 x + 6

Therefore the correct option is 2.

0,0(0 оценок)