The function f(x) is defined as f(x) = One-third(6)x. Which table of values could be used to graph g(x), a reflection of f(x) ac
ross the x-axis?
1 answer:
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Answer:
A) - Linear
B) - Linear
C) - Nonlinear
Step-by-step explanation:
To determine whether a function is linear or nonlinear.
The function of a straight line is given as :
where represents slope of line and
represents the y-intercept.
Any function that can be represented as a function of straight line is called a linear function otherwise it is nonlinear.
We will check the equations given for linear or nonlinear.
A)
The function is in the form and hence it is a linear function with slope
and y-intercept
.
B)
The function is in the form and hence it is a linear function with slope
and y-intercept
.
C)
On solving for
Dividing both sides by
This function cannot be represented in the form , hence it is a nonlinear function.