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

**Graphs**, Charts & Diagrams Data can be represented in many ways. The 4 main types of **graphs** are a bar **graph** or bar chart, line **graph**, pie chart, and diagram. Bar **graphs** are used to show relationships between different data series that are independent of each other.

Additionally, what are the key features of a quadratic equation? 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).

Herein, 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 is a function in math?

In mathematics, a **function** is a relation between sets that associates to every element of a first set exactly one element of the second set. The symbol that is used for representing the input is the variable of the **function** (one often says that f is a **function** of the variable x).

### 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.

### How find the range of a function?

How to find the range The range of a function is the spread of possible y-values (minimum y-value to maximum y-value) Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Make sure you look for minimum and maximum values of y. Draw a sketch!

### How do you find the domain of a function?

For this type of function, the domain is all real numbers. A function with a fraction with a variable in the denominator. To find the domain of this type of function, set the bottom equal to zero and exclude the x value you find when you solve the equation. A function with a variable inside a radical sign.

### What are logarithmic functions?

Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1.

### What is the characteristics of a function?

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 is a function on a graph?

The graph of the function is the set of all points (x,y) in the plane that satisfies the equation y=f(x) y = f ( x ) . If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output.

### 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.

### What makes a function exponential?

Exponential Functions In an exponential function, the independent variable, or x-value, is the exponent, while the base is a constant. For example, y = 2x would be an exponential function. The formula for an exponential function is y = abx, where a and b are constants.

### How do you describe a trend?

The following verbs can be used to describe a trend or pattern that goes up. climb (past: climbed) go up (past: went up) grow (past: grew) increase (past: increased) jump (past: jumped) rise (past: rose) rocket (past: rocketed)

### What is a trend in a graph?

A trend line (also called the line of best fit) is a line we add to a graph to show the general direction in which points seem to be going. Think of a “trend” as a pattern in math. Whatever shape you see on a graph or among a group of data points is a trend.