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

Given :
On a coordinate plane,a curved line with 3 arcs, lab led 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 the 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 & x=1-
3. Third arc is between (1,0) and (3,0)
Therefore only the 2nd arc cuts the y axis
It’s given that the curve cuts the y axis at (0, -6)
That is when x= 0, f(0) =-6
Therefore the value of f (0) is -6 only.

HOPED THIS HELPED LUV!!

Answer 2

The value of f(x) is 0 at f(0) is at –2, 1, 1, and 3 only, the correct option is C.

What is a Function?

A function is a law that relates a dependent and an independent variable.

The curved line has 3 arcs.

x   f(x)

-2    0

-1     0

1      0

3     0

0     -6

f(0) is where y = 0 and x has some value

f(0) is at –2, 1, 1, and 3 only.

To know more about Function

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