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Determine whether each of the following equations is a function from x to y.

a. y = 2x + 1
b.1 = 2y – 4x
c. y2 – 1 = x

Sagot :

abidemiokin

Answer:

a. y = 2x + 1: Not from x to y

b.1 = 2y – 4x: Not from x to y

c. y^2 – 1 = x: This is a function from x to y

Step-by-step explanation:

We are to determine whether or not the equations are function from x to y

Given the function y = f(x)

y is a dependent variable while the input variable is an independent variable. So we can say y is a function from y to x.

Also x = f(y) can be expressed as equation of a function from x to y i.e x is dependent and the input variable is independent

From tthe following options, the equation that is a function from x to y is

y² – 1 = x

This can also be written as x = y² – 1 where f(y) is y² – 1

The rest are not a function of x to y but otherwise unless re-written

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