Caryn Reamy asked, updated on July 23rd, 2021; Topic:
graph

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Mentor: Look at one of the **graphs** you have a question about. Then take a vertical line and place it on the **graph**. **If** the **graph is a function**, then no matter where on the **graph** you place the vertical line, the **graph** should only cross the vertical line once.

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Above, how do you know if it is a function?

A WAY easier (and faster), way to **know if it is a function** is to see **if** there are two of the same x-intercept (which make a vertical line). **If** there is, then it is NOT a **function**.

Next, how do you write a function from a graph?

In addition to this, what is not a function?

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.

Is a circle on a graph a function?

A **circle** is a set of points in the plane. A **function** is a mapping from one set to another, so they're completely different kinds of things, and a **circle** cannot be a **function**. ... The **graph** of a **function**, , is the set of pairs, for all in the domain, which can be interpreted as points in a plane.

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. ... Note that it is okay for two different elements in X to be related to the same element in Y.

When we have a **function** in formula form, it is usually a simple matter to evaluate the **function**. For example, the **function** f(x)=5−3x2 f ( x ) = 5 − 3 x 2 can be evaluated by squaring the input value, multiplying by 3, and then subtracting the product from 5.

You **write functions** with the **function** name followed by the dependent variable, such as f(x), g(x) or even h(t) if the **function** is dependent upon time. You read the **function** f(x) as "f of x" and h(t) as "h of t". **Functions** do not have to be linear.

PLIX Interactive. Horizontal lines are **functions** that have a range that is a single value. Vertical lines are **not functions**. The equations y = ± x and x 2 + y 2 = 9 **are examples** of non-**functions** because there is at least one -value with two or more -values.

The vertical line test can be used to determine whether a graph represents a **function**. ... 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. A **function** has only one output value for each input value.

The vertical **line** test can be used to determine whether a graph represents a **function**. If we can draw any vertical **line** that intersects a graph more than once, then the graph does not define a **function** because a **function** has only one output value for each input value.

A **linear function** is a function whose **graph** is a straight line. The line can't be vertical, since then we wouldn't have a function, but any other sort of straight line is fine.

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