Introduction to Functions

In this lesson, we will explore how to solve functions. A function is a relation that assigns exactly one output for each input. It is often represented as $f(x)$, where $x$ is the input value.

Example: Solving a Linear Function

Let's solve the function defined by $f(x) = 2x + 3$ for $f(4)$.

1. Start with the function:
   $f(x) = 2x + 3$

2. Substitute $x = 4$:
   $f(4) = 2(4) + 3$

3. Calculate $2(4)$:
   $f(4) = 8 + 3$

4. Add $3$:
   $f(4) = 11$

Thus, the solution is $f(4) = 11$.

Key Questions

• What is the output of $f(0)$ for the function $f(x) = 2x + 3$?
• How do you find $f(-1)$ for the function $f(x) = 2x + 3$?
• If $f(x) = x^{2} - 4$, what is $f(2)$?
• Describe how to solve a function for a given input.

Keywords

• Function
• Input
• Output
• Solve
• Linear