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They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
I have recently been doing all these direct variation problems but not every linear relationship is a direct variation... But every direct variation is a linear relation!
All direct variation graphs are linear and they all go through the origin.
A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.
Not at all.Y = x2 is a continuous function.
All linear equations are functions but not all functions are linear equations.
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are always functions.
yes yes No, vertical lines are not functions
yes yes No, vertical lines are not functions
I have recently been doing all these direct variation problems but not every linear relationship is a direct variation... But every direct variation is a linear relation!
Yes.
All direct variation graphs are linear and they all go through the origin.
The zero of a linear function in algebra is the value of the independent variable (x) when the value of the dependent variable (y) is zero. Linear functions that are horizontal do not have a zero because they never cross the x-axis. Algebraically, these functions have the form y = c, where c is a constant. All other linear functions have one zero.
A linear equation is a specific type of function that represents a straight line on a graph. While all linear equations are functions, not all functions are linear equations. Functions can take many forms, including non-linear ones that do not result in a straight line on a graph. Linear equations, on the other hand, follow a specific form (y = mx + b) where the x variable has a coefficient and the equation represents a straight line.
Not at all.Y = x2 is a continuous function.
They are all represented by straight lines.