Algebra 1 introduces students to the fundamental concepts of algebra, including variables, equations, and functions.
A function is a special rule that takes an input, does something to it, and gives back an output. Think of it like a vending machine: you put in money (input), and you get a snack (output).
Functions are often written as \( f(x) \), which means “the function of \( x \).” If \( f(x) = x + 2 \), and you plug in \( x = 3 \), you get \( f(3) = 3 + 2 = 5 \).
You can draw a picture of a function using a graph. Each input-output pair becomes a point on a graph, and connecting these points shows the pattern.
Functions help us model everything from how fast you run to how much money you save. They are everywhere in science and technology!
If \( f(x) = 2x \), then \( f(4) = 8 \).
The graph of \( y = x + 1 \) is a straight line going up.
Functions link each input to exactly one output and can be shown on a graph.