Question

5. Which function would have the point (0,0) on its graph?

A. Output = Input + 3
B. Output = Input x 5
C. Output = Input – 2
D.Output = Input + 3

Answer 1

B. Output = Input x 5

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
`(x,y)` lies on the graph of the function, we plugin the
`x` as the input in the function and
`y` 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

`0=0+3`

`0=3`

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

`0=0* 5`

`0=0`

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

`0=0-2`

`0=-2`

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

`0=0+3`

`0=3`

The above statement can never be true and hence, the function graph does not have the point (0,0).