Example 1
Completion requirements
| Example 1 |
Given \(y = 3x + 15 \), determine the value of \(y \) when \(x = 3 \).
In Math 10C, you learned about linear functions. Some of the characteristics you learned are unique to linear functions. For example, a linear function will generate ordered pairs that, when plotted on a graph, can be connected to produce a straight line.
Functions can be represented in several ways, including mapping diagrams, tables of values, graphs, equations, and written descriptions.
The pairing of input and output values for a particular function is called mapping.
An equation is a way to show a mathematical relationship between variables. In an equation, variables are used to represent the sets of numbers with which they could be replaced.
\(\begin{array}{l}
y = 3x + 15 \\
y = 3\left( 3 \right) + 15 \\
y = 9 + 15 \\
y = 24 \\
\end{array} \)
\(y = 24 \) (output), when \(x = 3 \) (input)
y = 3x + 15 \\
y = 3\left( 3 \right) + 15 \\
y = 9 + 15 \\
y = 24 \\
\end{array} \)
\(y = 24 \) (output), when \(x = 3 \) (input)
Functions can be represented in several ways, including mapping diagrams, tables of values, graphs, equations, and written descriptions.
The pairing of input and output values for a particular function is called mapping.
An equation is a way to show a mathematical relationship between variables. In an equation, variables are used to represent the sets of numbers with which they could be replaced.