Question

The function f(x) is shown on the graph.

On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0), and the y-axis at (0, negative 6).

What is f(0)?

0 only
–6 only
–2, 1, 1, and 3 only
–6, –2, 1, 1, and 3 only

Answer 1

Answer:

-6 only

Step-by-step explanation:

im prity shure because (0,-6) is the cornate for f0

Answer 2

Given:

On a coordinate plane, a curved line with 3 arcs, labeled f of x, crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (3, 0), and the y-axis at (0, negative 6).

To Find:

f when x = 0 i.e. f ( 0 ).

Solution:

Since the graph has 3 arcs and 4 solutions , it can be visualized as follows:

Between each solution, the function has to increase and decrease giving arcs in between.

1. One of the arcs is between (negative 2, 0) and (negative 1, 0).
2. Second arc is between (negative 1, 0) and  (1, 0).

• This arc cuts the y axis , since x = 0 lies between x = -1 and x =1.

    3. Third arc is between ( 1, 0 ) and ( 3 , 0).

Therefore only the 2nd arc cuts the y axis.

• Its given that the curve cuts y axis at ( 0 , - 6) .
• That is when x = 0 , f ( 0 ) = -6 .

Therefore the value of f (0 ) is -6 only.