Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.” The input values make up the domain, and the output values make up the **range**.

what are the features of graph? **Here are some of the things Graph can do for you:**

- Draw functions. Graph can plot standard functions, parametric functions and polar functions.
- Draw relation.
- Point series and trendlines.
- Interact with other programs.
- Evaluate.
- Tables.
- Area and length of path.
- Custom functions.

Also asked, what are the key features of a quadratic function?

The **key features of a quadratic function** are the y-intercept, the axis of symmetry, and the coordinates and nature of the turning point (or vertex).

How do functions work?

A **function** is an equation that has only one answer for y for every x. A **function** assigns exactly one output to each input of a specified type. It is common to name a **function** either f(x) or g(x) instead of y. f(2) means that we should find the value of our **function** when x equals 2.

### What makes a function rational?

In mathematics, a rational function is any function which can be defined by a rational fraction, i.e. an algebraic fraction such that both the numerator and the denominator are polynomials. The coefficients of the polynomials need not be rational numbers; they may be taken in any field K.

### How do you graph a function?

Consider the function f(x) = 2 x + 1. We recognize the equation y = 2 x + 1 as the Slope-Intercept form of the equation of a line with slope 2 and y-intercept (0,1). Think of a point moving on the graph of f. As the point moves toward the right it rises.

### What defines an exponential function?

Exponential function In mathematics, an exponential function is a function of the form. As functions of a real variable, exponential functions are uniquely characterized by the fact that the growth rate of such a function (that is, its derivative) is directly proportional to the value of the function.

### What is key in graph?

A key is used to identify the number of categories present in a graph. It is also called a legend. A key on a pictograph tells us how many each picture stands for. Look at the following pictograph.

### What is a quadratic function example?

Some common examples of the quadratic function Notice that the graph of the quadratic function is a parabola. This means it is a curve with a single bump. The graph is symmetric about a line called the axis of symmetry. The point where the axis of symmetry intersects the parabola is known as the vertex.

### What is a example of a function?

Some Examples of Functions x2 (squaring) is a function. x3+1 is also a function. Sine, Cosine and Tangent are functions used in trigonometry. and there are lots more!

### What are the properties of a function?

Key Points A function has a global (or absolute) maximum point at x * if f(x∗)≥f(x) f ( x ∗ ) ≥ f ( x ) for all x . A function has a global (or absolute) minimum point at x * if f(x∗)≤f(x) f ( x ∗ ) ≤ f ( x ) for all x .

### What makes a function function?

A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. That is, given an element x in X, there is only one element in Y that x is related to. This is a function since each element from X is related to only one element in Y.

### What are the rules of a function?

A function is a relation where there is only one output for every input. In other words, for every value of x, there is only one value for y. A function rule describes how to convert an input value (x) into an output value (y) for a given function. An example of a function rule is f(x) = x^2 + 3.

### What is not a function example?

A non-function would be one that has TWO answers for ONE input, such as when you have y squared = 4. You can have y = 2 or -2. If you graph this, you would have a point directly above the other point on a graph.

### What is not a function?

Functions. A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.