A linear function is a function, or equation, that when graphed, will form a straight line.

The equation for a circle is a function in that it can be graphed and charted. One common equation is x^2 + y^2 = r^2.

As shown, the function has neither range nor domain.

The graph (on Cartesian coordinates) of a quadratic equation is a parabola.

(x + 5)(x - 2)x2 + 3x - 10this is your quadratic equation

The [ 2x + 1 ] represents a function of 'y' .

y=mx+b

Yes it can. A linear equation in the form of y=mx+b can always be graphed used the x and y intercepts.

A derivative of a function represents that equation's slope at any given point on its graph.

If the function is a straight line equation that passes through the graph once, then that's a function, anything on a graph is a relation!

When a function is graphed, the dependent variable is usually measured along the y-axis. This is because y is the function of x.

You don't. An equation with two variables can be graphed as a line or a curve on x-y coordinates. When you do that, EVERY point on the line or curve satisfies the equation. You can't 'solve' it ... i.e. come up with unique values for 'x' and 'y' ... until you have another equation. It represents another line or curve on the graph, and the 'solution' represents the point (or points) where the graphs of the two equations intersect.

It is a continuous function. If the line is a straight line, it is a linear function.

The letter f represents function notation, and replaces y as a variable. f(x)=ax+b is a linear function.

[ y = mx + b ] is.m = the slope of the graphed lineb = the 'y' value where the graphed line crosses the y-axis.

A linear function when graphed takes the form of a straight line.

Suppose y represents the numerator of the fraction and x represents the denominator.A = (x1, y1) and B = (x2, y2) are equivalent fractions if y1/x1 = y2/x2 = some constant m. Then all points representing equivalent fractions are on the straight line whose equation is y = mx.

No, not if the y is squared. When graphed the equation will not form a straight line.

the output of the function which is graphed

Cardioid

It is a linear equation of two variables. When graphed, it is a line.

Lemniscate

Sublimation hasn't an equation.

A relation is an expression that is not a function. A function is defined as only having one domain per range, meaning that when graphed, a function will have no two points on the same vertical line. If your expression is graphed and two points do appear on the same vertical line, it is a relation, not a function.

y = -8 is a function because when graphed, it passes the vertical line test.