Algebra Basics: What are Functions?

What is a function in math?

• A group of letters

• A rule that relates an input set to an output set

• A collection of numbers

• A type of equation

In the equation y = 2x, what is the output when the input is 3?

• 3

• 5

• 6

• 9

Why does the equation y^2 = x not qualify as a function?

• It has no solutions

• It is not an equation

• It produces more than one output for a single input

• It only works for positive numbers

What does the Vertical Line Test help determine?

• If an equation has solutions

• If a graph is a function

• If a set is finite

• If a function is linear

What does f(x) = 3x + 2 represent?

• A multiplication problem

• A function with input x and output y

• A set of numbers

• A graphing equation