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The following table shows the values of y for different values of x:


x y

0 0

1 1

2 4


Which statement best explains whether the table represents a linear function or a nonlinear function?

AIt represents a linear function because its points are on a straight line.
BIt represents a nonlinear function because its points are not on a straight line.

C.It represents a linear function because its points are not on a straight line.

DIt represents a nonlinear function because its points are on a straight line.

Verified Answer :

calculista

Answer:

Option B. It represents a nonlinear function because its points are not on a straight line.

Step-by-step explanation:

Let

\(A(0,0),B(1,1),C(2,4)\)

we know that

If point A,B and C are on a straight line

then

The slope of AB must be equal to the slope of AC

The formula to calculate the slope between two points is equal to

\(m=\frac{y2-y1}{x2-x1}\)

Find the slope AB

\(A(0,0),B(1,1)\)

substitute in the formula

\(m_A_B=\frac{1-0}{1-0}=1\)

Find the slope AC

\(A(0,0),C(2,4)\)

substitute in the formula

\(m_A_C=\frac{4-0}{2-0}=2\)

so

\(m_A_B eq m_A_C\)

Points A, B and C are not on a straight line

therefore

It represents a nonlinear function because its points are not on a straight line

Answer:

above was right

Step-by-step explanation:

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