Question

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

Answer 1

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 $(x,y)$ 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

$0=0\times 5$

$0=0$

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).