YOU ARE LEARNING:
Functions are a sequence of operations which convert an input into an output.
An algebraic function is a series of mathematical operations that takes an input and produces an output.
Functions come in the form f(x)=. f here is interchangeable with other letters, and just represents the name of the function. The (x) represents the input which will be put through the function to produce an output.
After the equals sign in f(x)=, a function specifies a set of instructions through which the function will produce an output. For example, x+2 would take the input, and add 2 to it.
Let's try an example of a function. f(x)=2x+4
This function takes an input, multiplies it by 2 and then adds how many?
Try an input to see its output
Let's find the value of f(x)=2x+4 for f(2). The number in the brackets, f(2), indicates that 2 is the input value. To find its output, we find 2×2+4.
For the function f(x)=2x+4, what is f(2)?
For the function f(3)=2x+4, what is f(3)?
Since f(x)=2x+4 where x=3, we can calculate f(3)=2×3+4=10
What is f(4) if:
What is g(6) if:
What is x if g(x)=9 for the following equation?