The correct option is
.
Further explanation:
Consider a function
as
.
...... (1)
Consider the function
as
.
...... (2)
Substitute 0 for
in equation (1) to obtain the value of
and also the value of
can be obtained from the graph by finding the value of
at
.

Substitute 2 for
in equation (1) to obtain the value of
and also the value of
can be obtained from the graph by finding the value of
at
.

Substitute
for
in equation (2) to obtain the value of
and also, the value of
can be obtained from the graph by finding the value of
at
.

Now check the option that is satisfied by the obtained value.
In the option (a) the value of
is 2 which is not equal to the obtained value so this option is not correct.
In the option (b) the value of
is 4 which is not equal to the obtained value so this option is not correct.
In the option (c) the value of
is 0 which is equal to the obtained value and the value of
is 0 which is also equal to the obtained value so this option is correct.
In the option (d), the value of
is 0 but from the graph it can be observed that the value of
is greater than 12, so this option is not correct.
Learn more:
1. Problem on Function brainly.com/question/1691598
2. How to solve Function brainly.com/question/1632445
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Function
Keywords:
Graphed function, f(0), f(2),g(0), f(x), g(x), intercept, intersection, axis, vertical, horizontal, lines, parabola function.