Answer:
B. <em>Output = Input x 5</em>
Step-by-step explanation:
Given:
Point (0,0)
To find which of the functions given will have the point (0,0) on its graph.
Solution:
In order to check whether a point lies on the graph of the function, we plugin the
as the input in the function and
as the output of the function and see if it satisfies the equation.
Plugging in point (0,0) in the functions given:
A. <em>Output = Input + 3</em>
Plugging in Output=0 and Input=0
The above statement can never be true and hence, the function graph does not have the point (0,0).
B. <em>Output = Input x 5</em>
Plugging in Output=0 and Input=0
The above statement is always true and hence, the function graph does have the point (0,0).
C. <em>Output = Input - 2</em>
Plugging in Output=0 and Input=0
The above statement can never be true and hence, the function graph does not have the point (0,0).
D. <em>Output = Input + 3</em>
Plugging in Output=0 and Input=0
The above statement can never be true and hence, the function graph does not have the point (0,0).
