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A graph represents a function if and only if every input generates a single output.

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Q: When can a graph represent a function?
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Continue Learning about Algebra

Which statement is a correct interpretation of the vertical line test?

A-If there exists a vertical line that intersects the graph at exactly one point, the graph represents a function.B-If there exists a vertical line that intersects the graph at exactly one point, the graph does not represent a function. C-If there exists a vertical line that intersects the graph at more than one point, the graph represents a function.-DIf there exists a vertical line that intersects the graph at more than one point, the graph does not represent a function


What are 4 ways to represent a function?

Input/output table, description in words, Equation, or some type of graph


How do you graph the slope of a function?

For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.


How will the vertical line test be used to determine whether a graph is a function?

A function can only have one output for any given input. This means that any x value you choose cannot have multiple corresponding y values. The vertical line test involves looking at a graph and drawing vertical lines over it. If any of the vertical lines you have drawn touch the graph of the function more than once, then the graph does not represent a function.


What is the zero of a function and how does it relate to the functions graph?

A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.

Related questions

What do the asymptotes represent when you graph the tangent function?

When you graph a tangent function, the asymptotes represent x values 90 and 270.


What do the zeros of a polynomial function represent on a graph?

The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.


Why does f represent the graph of a function?

Because each vertical lines meets its graph in a unique point.


How do you determine weather the graph represent a function?

The "vertical line test" will tell you if it is a function or not. The graph is not a function if it is possible to draw a vertical line through two points.


Does a circle represent a function in linear functions?

a) A circle is not the graph of a function. b) A circle is not linear.


Which parent function does the graph represent?

f(x)=x^2 apex


Which statement is a correct interpretation of the vertical line test?

A-If there exists a vertical line that intersects the graph at exactly one point, the graph represents a function.B-If there exists a vertical line that intersects the graph at exactly one point, the graph does not represent a function. C-If there exists a vertical line that intersects the graph at more than one point, the graph represents a function.-DIf there exists a vertical line that intersects the graph at more than one point, the graph does not represent a function


What is a Cartesian graph and what does it represent?

A cartesian graph is a graph in which y is some function of x. This is the 'normal' type in which you can give an x and y coordinate. Other types include polar in which modulus is a function of argument, but there are loads of varieties and forms.


What are 4 ways to represent a function?

Input/output table, description in words, Equation, or some type of graph


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.


How do you graph the slope of a function?

For example, if the slope at a certain point is 1.5, you can draw a line that goes through the specified point, with that slope. The line would represent the slope at that point. If you want to graph the slope at ALL POINTS, take the derivative of the function, and graph the derivative. The derivative shows the slope of a function at all points.


What does a point represent on a graph?

A point can represent a piece of data or an (x,y) value.