Question

Select all the correct answers. Which equations represent functions?

a.2x + 3y = 10
b.4x = 16
c.2x − 3 = 14
d.3y = 18
e.14.6 = 2x

Answer 1

Hello.

Functions are a relationship between two variables such that for every value of x there is one value of y. The easiest way to see if a given equation is a function is by graphing it.

I will post photos of each graph (in order).

So therefore, the equations that represent functions are A and D.

Answer 2

option A and D

Explanation:

Select the equation that represent function.

A relation is a function that relates the variables x and y that is input and output.

A relation is a function that satisfies vertical line test.

x= some number is a vertical line that is not a function.

y= some number is a horizontal line that passes vertical line test, so it is a function.

a.
`2x + 3y = 10` is a linear equation. It is a function.

b.
`4x = 16` . It is a vertical line, so it is not a function.

c.
`2x − 3 = 14` It is a vertical line, so it is not a function.

d.
`3y = 18` It is a horizontal line, so it is a function.

e.
`14.6 = 2x` It is a vertical line, so it is not a function.