## a curve c is defined by the parametric equations xt24t 1 and yt3

There are many benefits to using parametric equations, but one of the biggest is that they can be used to define a curve. This is because parametric equations define a curve by specifying a set of points that the curve passes through. This means that you can use parametric equations to define any kind of curve, from a straight line to a more complicated one.

## the domain of c is the set of all real numbers

The domain of c is the set of all real numbers

## the range of c is the set of all real numbers

The range of c is the set of all real numbers such that xt24t 1 and yt3.

## the curve c is a graph of a function

A curve c is defined by the parametric equations xt24t 1 and yt3. The curve c is the graph of a function. The function is a polynomial function. The degree of the polynomial function is two. The leading coefficient of the polynomial function is one. The roots of the polynomial function are two and three.

### the function is continuous

A curve c is continuous if given any two points on the curve, there exists a smooth curve that connects those two points. A simple way to think of this is that a continuous curve can be drawn without lifting your pencil from the paper.

### the function is differentiable

Differentiability of a function at a point is a measure of how well the function can be approximated by a linear function near that point. A function is said to be differentiable at a point if there exists a linear function that provides a good approximation to the function near that point. In order for a function to be differentiable, it must be continuous at the point in question. A function that is not continuous at a point cannot be differen

## the curve c is the graph of a function that is one-to-one

A curve c is defined by the parametric equations xt24t 1 and yt3 . The curve c is the graph of a function that is one-to-one. The domain of the function is the set of all real numbers t such that t 1 and the range of the function is the set of all real numbers t such that t 3.

### the function is invertible

This means that the function is one-to-one, or that for every y-value there is only one x-value. This also means that the curve c is the graph of a function that is one-to-one.

### the inverse function is continuous

To show that the inverse function is continuous, we need to show that given any , there exists such that whenever . We also need to show that the inverse function is differentiable at every point in its domain. We will do this by showing that the inverse function has a continuous derivative.

### the inverse function is differentiable

If a function is one-to-one, then its inverse function is also one-to-one. Therefore, the inverse function of a one-to-one function is also a function. In addition, the inverse function of a differentiable function is also differentiable.