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Is a graph that consists of a single point the graph of a function and can you write the equation of such a function?
Wiki User
∙ 10y ago
MATH 1003?
Wiki User
∙ 10y ago
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Is the graph of a circle a function?
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.
What different information do you get from vertex form and quadratic equation in standard form?
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.
What do you call the graph of a quadratic function?
the graph of a quadratic function is a parabola. hope this helps xP
Graph the equation and identify the y-intercept y equals 5x-7?
12
What is the shape of the graph of a quadratic equation called?
A parabola.
What does a linear equation graph look like?
A linear function is a function whose graph is a straight line.
What is linear function?
A function is an equation that is a straight line when plotted on a graph.
When you are given a graph how can you come up with a rational function equation?
You cannot, necessarily. Given a graph of the tan function, you could not.
How do you determine if a relation represents a function?
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!
How can you define when the Graph is Function or not?
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
When can a graph represent a function?
A graph represents a function if and only if every input generates a single output.
What is the concept of graphing system of equations?
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.
To shift the graph of an equation a certain number of units up you need to that number to from the function's equation?
Add
What information does the graph of a function provide with respect to the algebraic equation?
The coordinates of the points on the curve represent solutions of the equation.
A function wahose graph is parabola?
Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.
How are the real solutions of a quadratic equation related to the graph of the quadratic function?
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.
How do you find the equation of a graph?
You find the equation of a graph by finding an equation with a graph.
