MATH 1003?
Yes, the graph of a circle is a function. Recall, in a circle, that x2 + y2 = r2, for circles at the origin, though you could offset it any place you want by making the equation more complex. Solving for y, you get y = square root(r2 - x2). Since square root, by definition, has two values, the plus value and the minus value, this is a function, even though each x has two values for y, within the domain of +/-R.Some people might say that the graph of a circle is not a function, because it violates the single value test, i.e. if you draw a vertical line within the domain of the function, you get more than one value. In fact, however, if you convert the equation from cartesian coordinates to polar coordinates, you pass the single value test, i.e. R is constant for every theta.
The graph of a quadratic function is always a parabola. If you put the equation (or function) into vertex form, you can read off the coordinates of the vertex, and you know the shape and orientation (up/down) of the parabola.
the graph of a quadratic function is a parabola. hope this helps xP
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A parabola.
A linear function is a function whose graph is a straight line.
A function is an equation that is a straight line when plotted on a graph.
You cannot, necessarily. Given a graph of the tan function, you could not.
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!
If a graph is a function, it will always have y=... or x=... (or anoher letter equals an equation) for example y= 3x-12 is a function
A graph represents a function if and only if every input generates a single output.
You take each equation individually and then, on a graph, show all the points whose coordinates satisfy the equation. The solution to the system of equations (if one exists) consists of the intersection of all the sets of points for each single equation.
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The coordinates of the points on the curve represent solutions of the equation.
Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.
You find the equation of a graph by finding an equation with a graph.
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.