Function Notation

Front

What is function notation?

Back

Function notation is a way to represent a function using symbols, typically written as f(x), where 'f' is the name of the function and 'x' is the input variable.

Front

What does f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you find f(a) for a function f?

Back

To find f(a), substitute 'a' into the function's expression in place of 'x'.

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 4 + 3 = 7.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (f(x)) that the function can produce.

Front

Given f(x) = -4x - 10, what is f(0)?

Back

f(0) = -4(0) - 10 = -10.

Front

What is the significance of the x-intercept of a function?

Back

The x-intercept is the point where the function crosses the x-axis, meaning f(x) = 0.

Front

How do you find the x-intercept of f(x) = 2x - 6?

Back

Set f(x) to 0: 0 = 2x - 6, then solve for x: x = 3.

Front

What does it mean if f(a) = b?

Back

It means that when the input is 'a', the output of the function f is 'b'.