Why is the equation y = 16 - x^2 a relation but not a linear function?

Answer 1

It is a relation because it relates two variables (y and x), but is not linear because the x has an exponent of 2.

Answer 2

because it has a power of 2 in the equation. a linear function only has variables, such as x, with a power to the first degree.
for example, y=16-x is a linear function

Answer 3

A linear funtion will have an exponent value of 1. You have the term x^2 which makes this a second order function and not linear.

Answer 4

A linear equation contains only terms to the first power, and constants (like the 16 in your equation). Anything with a different exponent, like 1/x or x^2 or sqrt(x) is non-linear.

Answer 5

It is a function because for each x value there is 1 and only one y value.

It is not linear because linear functions are those written in the form y=ax+b, where a and b are constants and a is not equal to 0. The graph is a straight line. Your graph is a parabola.

It is not a one to one function because there are y values that have more than one x values (in other words, it fails the horizontal line test).

Answer 6

Linear functions never exceed the first power for the independant variable (x)

Answer 7

First of all, it's not a linear function because it contains a squared variable.

Secondly, it is a second degree function as are all parabolas with axis of symmetry parallel to the y-axis.

Answer 8

not a linear function 'cos x^2
linear function => x^1

function 'cos no 2 couples have same 1st element

Answer 9

because its not linear, if you graph it, it will be a parabola, not a line, but its still a relation because it tells you what one variable will be by relating it to the other variable.
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