Can a function have infinitely many x intercepts?

A graph can have many intercepts, one intercept, or no intercepts. The graph of a function can have any number of -intercepts, including none and infinitely many.

How many x and y intercepts can a function have?

In answering these, remember that by definition, a function can only have one output (y-value) for each input (x-value). A function having more than one y-intercept would violate this, since it would mean that there are two outputs for x=0. Therefore, it is not possible for a function to have more than one y-intercept.

Is it possible for a function to have NO x or y intercepts?

Explanation: A line can have no x-intercept or no y-intercept, but not both. The x-intercept is where a line crosses the x-axis. The y-axis is where a line crosses the y-axis.

Can the graph of an equation have no x intercepts two x intercepts infinitely many x intercepts?

The x-axis is defined by the equation y=0x+0. Since we see that our equation and that of the x-axis have the same slope, they will never intersect. So, to answer your question, any equation of the form y=b will have no x-intercept, except y=0, which will have infinitely many intercepts.

Can a function have multiple y intercepts?

The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . )

Can a system of linear equations in two variables have infinitely many solutions?

Note that a solution to a system of linear equations is any point at which the lines intersect. Notice that the two lines are parallel and will never intersect. A dependent system has infinitely many solutions. The lines are exactly the same, so every coordinate pair on the line is a solution to both equations.

Can a function have two X intercepts?

Given the graph of any function, an x-intercept is simply the point, or points where the graph crosses the x-axis. There might be just one such point, no such point, or many, meaning a function can have several x-intercepts.

How many X intercepts does the function have?

. Therefore, there is only one x-intercept for that function.

How do you tell if there are no x-intercepts?

If you try to “plug” into your calculator, you will get an error. So, if we can’t solve for x, that means there are no x-intercepts. Let’s graph the parabola using the y-intercept (0, 5) and the vertex (3/2, 11/4). Remember, the parabola should not cross the x-axis anywhere.

How do you know if there are no x-intercepts?

If the value of the discriminant is zero, there is one real solution for x, meaning the graph of the solution has one x-intercept. If a negative number is inside the square root, there are no x-intercepts. The solutions are not real numbers, but would have to be expressed as complex numbers.

When graphed which function will not have an x-intercept?

No. However, linear functions of the form y = c, where c is a nonzero real number are the only examples of linear functions with no x-intercept. For example, y = 5 is a horizontal line 5 units above the x-axis. This function has no x-intercepts.

How to find the X and y intercepts of a function?

The x and y intercepts are those calculated above. Note that the x and y intercepts may be determined graphically. Set x = 0 in the formula of the given function and calculate the y intercept which is equal to f (0). The graph of the given function is shown below along with the x and y intercepts as calculated above.

Is it possible for a line to have infinite intercepts?

It is possible for a line to have an infinite number of intercepts with the x or y -axis.

How many intercepts can a line have with the x-axis?

It is possible for a line to have an infinite number of intercepts with the x or y -axis. It is possible for a line to have an infinite number of intercepts with the x or y -axis. The line x = 0 has an infinite number of intercepts with the y -axis. The line y = 0 has an infinite number of intercepts with the x -axis.

How many x-intercepts does a parabola have?

all parabolas, where x has 2 real roots, have 2 x− intercepts. they may also have a y− intercept. the roots of the graph are the points where y is 0, and the solutions for x are the x− coordinates at these points. there are examples of graphs with many more x− and y− intercepts.