Functions and Function Notation

Front

What is a function?

Back

A function is a relation that assigns exactly one output (value) for each input (value).

Front

What is function notation?

Back

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

Front

Translate the coordinate pair (0,8) into function notation.

Back

f(0) = 8.

Front

What does it mean for a table to represent a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

Front

Given the graph, how do you find f(2)?

Back

Locate the x-value of 2 on the graph and find the corresponding y-value.

Front

If h(t) = 2t^2 + 5t - 3, what is h(-3)?

Back

h(-3) = 0.

Front

If h(x) = x^2 - 2x + 4, what is h(3)?

Back

h(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-values) 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 (y-values) that the function can produce.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.