MathIsimple

Functions & Graphs

Explore function basics, input-output relationships, and graphing linear functions.

7th Grade
Functions
~45 min
🎮 Interactive Activity: Function Evaluator

Evaluate functions by substituting input values!

f(x) = 2x + 3
If x = 4, find f(4)
🎮 Interactive Activity: Function Table Builder

Build a function table from a function rule!

f(x) = 2x + 1
1. Understanding Functions

What is a Function?

A function is a relationship where each input (x) has exactly one output (f(x) or y).

Key Terms:

Input (x): The value you put into the function

Output (f(x) or y): The result you get out

Domain: All possible input values

Range: All possible output values

Function Rule Example:

f(x) = 2x + 3

This means: multiply input by 2, then add 3

If x = 4, then f(4) = 2(4) + 3 = 11

2. Evaluating Functions
3. Graphing Functions
4. Linear Functions
5. Problem-Solving Strategies
6. Real-World Applications
Frequently Asked Questions

Practice Time!

Practice Quiz
10
Questions
0
Correct
0%
Score
1
If f(x) = 2x + 3, what is f(4)?
2
What is the input in a function called?
3
If f(x) = 3x - 2, what is f(5)?
4
A function has one input and:
5
If f(x) = x + 5, what is f(-3)?
6
What is the slope of the function f(x) = 4x + 1?
7
If f(x) = -2x + 7, what is f(0)?
8
Which represents a function?
9
If f(x) = 5x, what is f(6)?
10
What is the y-intercept of f(x) = 3x - 4?