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pychu [463]
3 years ago
7

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

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

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 (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. <em>Output = Input + 3</em>

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. <em>Output = Input x 5</em>

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. <em>Output = Input - 2</em>

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. <em>Output = Input + 3</em>

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).

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