Identifying Functions: Answers | Saylor Academy

Identifying Functions

A relation is a rule that describes a relationship between two variables. It can be represented in various ways: verbally, as a set of ordered pairs, as an equation, or as a graph on a coordinate plane. A function is a particular kind of relation. This lecture series discusses how to recognize functions when they are given by different representations. Watch the videos and complete the interactive exercises.

Evaluate functions from their graph - Questions

Answers

We should look for the point on the graph whose $x$ -coordinate is $7$ .

The point on the graph whose $x$ -coordinate is $7$ is the point $(7,4)$ .

When the input is $7$ , the output is $4$ .

We should look for the point on the graph whose $x$ -coordinate is $4$ .

The point on the graph whose $x$ -coordinate is $4$ is the point $(4,1)$ .

When the input is $4$ , the output is $1$ .

We should look for the point on the graph whose $x$ -coordinate is $2$ .

The point on the graph whose $x$ -coordinate is $2$ is the point $(2,-2)$ .

When the input is $2$ , the output is $-2$

We should look for the point on the graph whose $x$ -coordinate is $-5$ .

The point on the graph whose $x$ -coordinate is $-5$ is the point $(-5,7)$ .

When the input is $-5$ , the output is $7$ .

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