What is the curve y x 2?

parabola
Graph of y = x2 The shape of this graph is a parabola.

How many solutions are there to the equation y x 2?

There can be infinite solutions to the equation which is given by you.

Is yx 2 a function?

2 Answers By Expert Tutors Yes it is. Using the definition of a function, y=x^2 is a function because for every x-value in your domain, you will only get 1 unique y-value.

How to find the area bounded by the curve?

Question: Find the area bounded by the curve y = x 2 + 2 and straight line y = x + 3. Solution: The first step is the calculation of the coordinates of the intersection points M and N. We must solve the equations y = x 2 + 2 and y = x + 3 simultaneously for it. Put the value of y in the equation of the curve to get:

How many bounded regions does a straight line have?

The straight line intersects the curve at an infinite number of points and forms an infinite number of bounded regions. The total area is not finite here. The straight line touches the curve at 1 point. Similarly, the line may touch the curve at multiple points. In such cases, no bounded region exists.

What is the total area of a curve and straight line?

The straight line intersects the curve at two points and forms a bounded region. The straight line intersects the curve at three points and forms more than 1 bounded region. The total area has a finite value. The straight line intersects the curve at an infinite number of points and forms an infinite number of bounded regions.

How to find the area above and below the Y-axis?

The area above the y-axis is taken with a positive sign. The area below the y-axis is taken with a negative sign. If the curve can easily be expressed in the form of x = f (y); then we must express the straight line also in the form of x = g (y). In such a case, we could employ the formula: {A = \\int_ {y_1}^ {y_2} [f (y) – g (y)]dy}