How many y intercepts can a graph of function have?

one y -intercept
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 . )

How many X intercepts can a one to one function have?

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

How many X intercepts and y intercepts can a linear function have?

A linear equation will only ever have, at most, one x-intercept and one y-intercept.

How many X intercepts are in a graph?

x-intercepts in greater depth A parabola can have 2 x-intercepts, 1 x-intercept or zero real x intercepts. If the parabola only has 1 x-intercept (see middle of picture below), then the parabola is said to be tangent to the x-axis.

How many intercepts can a line have?

Explanation: 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.

Do circles have intercepts?

Because a circle is round, it can cross the y-axis twice and have up to two y-intercepts. However, you find the y-intercept(s) of a circle the same way you would for any other equation – by substituting “0” for x.

How do you find the intercepts of a circle?

The lengths of intercepts made by the circle x2 + y2 + 2gx + 2fy + c = 0 with X and Y axes are 2√g2−c and 2√f2−c respectively. Let AB be the intercept made by the given circle on x-axe. Since on x-axis, y = 0. Therefore, x-coordinates of the points A and B are the roots of the equation x2 + 2gx + c = 0.

How many intercepts does a circle have?

Because a circle is round, it can cross the y-axis twice and have up to two y-intercepts.

What is the length of intercept?

(C) 2. (D) 2√2. Hint: We will first find the points of intersection of line and circle by solving the equations. The length of intercept will be the distance between the points of intersection.