Answer:
B. Output = Input x 5
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 [tex](x,y)[/tex] lies on the graph of the function, we plugin the [tex]x[/tex] as the input in the function and [tex]y[/tex] as the output of the function and see if it satisfies the equation.
Plugging in point (0,0) in the functions given:
A. Output = Input + 3
Plugging in Output=0 and Input=0
[tex]0=0+3[/tex]
[tex]0=3[/tex]
The above statement can never be true and hence, the function graph does not have the point (0,0).
B. Output = Input x 5
Plugging in Output=0 and Input=0
[tex]0=0\times 5[/tex]
[tex]0=0[/tex]
The above statement is always true and hence, the function graph does have the point (0,0).
C. Output = Input - 2
Plugging in Output=0 and Input=0
[tex]0=0-2[/tex]
[tex]0=-2[/tex]
The above statement can never be true and hence, the function graph does not have the point (0,0).
D. Output = Input + 3
Plugging in Output=0 and Input=0
[tex]0=0+3[/tex]
[tex]0=3[/tex]
The above statement can never be true and hence, the function graph does not have the point (0,0).
