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ozzi
3 years ago
10

Given that D(x) = 2x, select all of the following that are true statements

Mathematics
1 answer:
Keith_Richards [23]3 years ago
6 0

Answer:

D(x) is a function

D(x) is a direct variation

D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=k or y=kx

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

D(x)=2x

D(x) is a direct variation (linear function)

The variable x is the independent variable or input value

The variable D(x) is the dependent variable or output value

<u><em>Verify each statement</em></u>

case 1) D(x) is a function

The statement is true

see the explanation

case 2) x is the dependent variable

The statement is false

The variable x is the independent variable or input value

case 3) D(x) is a direct variation

The statement is true

see the explanation

case 4) D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)

The statement is true

Because

For x=5

substitute in the linear equation

D(x)=2(5)=10 ---> is ok

For x=6

substitute in the linear equation

D(x)=2(6)=12 ---> is ok

For x=-2

substitute in the linear equation

D(x)=2(-2)=-4 ---> is ok

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