## What is a function rule example?

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.## How do you write a function rule from a graph?

## How do you write a function from a table?

**Write a function**to represent the data in the**table**.- Look at the x values.
- Next look at the y values.
- The y values in this
**table**are going up five every time. - Go back to the first x.
- You need to add 3.
- Once you decide on a rule, make sure it works for the other x values.
- The
**function**is y = 5x + 3.

## What is a function rule for a table?

A

**function table**has values of input and output and a**function rule**. In the**function rule**, if we plug in different values for the input, we get corresponding values of output. There is always a pattern in the way input values x and the output values y are related which is given by the**function rule**.## How do you determine if a table is a function?

**How To: Given a**

**table**of input and output values,**determine**whether the**table**represents a**function**.**Identify**the input and output values.- Check to see
**if**each input value is paired with only one output value.**If**so, the**table**represents a**function**.

## What is not a function?

Horizontal lines are

**functions**that have a range that is a single value. Vertical lines are**not functions**. The equations y=±√x and x2+y2=9 are examples of non-**functions**because there is at least one x-value with two or more y-values.## How can you identify a function?

A relation is a

**function**if each x-value is paired with exactly one y-value. You can use the vertical line test on a graph to determine whether a relation is a**function**. If it is impossible to draw a vertical line that intersects the graph more than once, then each x-value is paired with exactly one y-value.## Which table is not a function?

if an input produces more than one output, the

**table**does**not**represent a**function**. In this case,**table**D is**not a function**. the x value 0 has three different output values, -1, 4, and 6; the input 2 also has three different output values.## Which set is a function?

A

**function**is a**set**of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a**set**of ordered pairs defines a**function**.## How do you know if a function is not a function?

Determining whether a relation is a

**function**on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a**function**. However, if a vertical line crosses the relation more than once, the relation is**not**a**function**.## Is a circle a function?

No, a

**circle**is a two dimensional shape. No. The mathematical formula used to describe a**circle**is an equation, not one**function**. For a given set of inputs a**function**must have at most one output.## How do you determine if a circle on a graph is a function?

Use the vertical line test to

**determine**whether or not a**graph**represents a**function**.**If**a vertical line is moved across the**graph**and, at any time, touches the**graph**at only one point, then the**graph is a function**.**If**the vertical line touches the**graph**at more than one point, then the**graph**is not a**function**.## Is a line a function?

If any vertical

**line**intersects a graph more than once, the relation represented by the graph is not a**function**. Notice that any vertical**line**would pass through only one point of the two graphs shown in parts (a) and (b) of Figure 13. From this we can conclude that these two graphs represent**functions**.## How do you make a circle a function?

**Center away from the origin**

- Locate the center of the
**circle**from the equation (h, v). Place the center of the**circle**at (3, –1). - Calculate the radius by solving for r.
- Plot the radius points on the coordinate plane.
- Connect the dots to the graph of the
**circle**with a round, smooth curve.

## What is the π?

Succinctly,

**pi**—which is written as the Greek letter for p, or**π**—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle’s size, this ratio will always equal**pi**. In decimal form, the value of**pi**is approximately 3.14.## What is general equation of circle?

The

**standard equation**of a**circle**is given by: (x-h)^{2}+ (y-k)^{2}= r^{2}. Where (h,k) is the coordinates of center of the**circle**and r is the radius.## What is standard form of a circle?

**Standard form**for the equation of a

**circle**is (x−h)2+(y−k)2=r2. The center is (h,k) and the radius measures r units.

## What are all the formulas for a circle?

**Circle**is a particular shape and defined as the set of points in a plane placed at equal distance from a single point called the center of the

**circle**.

**Formulas** Related to **Circles**.

Diameter of a Circle |
D = 2 × r |
---|---|

Circumference of a Circle |
C = 2 × π × r |

Area of a Circle |
A = π × r^{2} |

## How do you write the standard form of a circle with the center and radius?

The

**standard form of a circle**is**given**below: (x – h)^{2}+ (y – k)^{2}= r^{2}, where the**center**is located at (h, k) and r is the length of the**radius**. In this case, h will be –3, k will be 6, and r will be 5.## How do you convert standard form to general form?

David Nilsen is the former editor of Fourth & Sycamore. He is a member of the National Book Critics Circle. You can find more of his writing on his website at davidnilsenwriter.com and follow him on Twitter as @NilsenDavid.