Function Notation

Front

What is function notation?

Back

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

Front

What does f(x) = x^2 + 2x + 5 represent?

Back

This represents a quadratic function where the output is calculated by squaring the input, multiplying the input by 2, and adding 5.

Front

How do you evaluate a function at a specific point, such as f(-3)?

Back

To evaluate f(-3), substitute -3 for x in the function's equation and simplify.

Front

What is a coordinate point in function notation?

Back

A coordinate point is an ordered pair (x, f(x)) that represents the input and its corresponding output.

Front

Convert g(15) = -1 to a coordinate point.

Back

The coordinate point is (15, -1).

Front

What is the independent variable in a function?

Back

The independent variable is the input value, often represented as 'x' in function notation.

Front

In the function h(t) = \frac{1}{2}t + 7, what is the output when t = 8?

Back

The output h(8) is 11.

Front

What does it mean if h(7) = 10?

Back

It means that when the input is 7, the output of the function h is 10.

Front

How do you find the output of a function for a given input?

Back

Substitute the input value into the function's equation and simplify to find the output.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x), while the dependent variable is the output (f(x)).