Relations and Functions - Review

Front

What is the domain of a relation?

Back

The set of all x-coordinates in the relation.

Front

What does f(x) represent in a function?

Back

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

Front

How do you read f(x)?

Back

f of x.

Front

What is the range of a function?

Back

The set of all possible output values (y-coordinates) of the function.

Front

What is the inverse of a function?

Back

A function that reverses the effect of the original function, swapping the input and output.

Front

Given f(x) = x^2 - 8, how do you find f(2)?

Back

Substitute 2 into the function: f(2) = 2^2 - 8 = -4.

Front

What is the value of f(3) if f(x) = x^2 - 8?

Back

f(3) = 3^2 - 8 = 1.

Front

How do you calculate f(2) - f(3) for f(x) = x^2 - 8?

Back

f(2) - f(3) = -4 - 1 = -5.

Front

What is the graphical representation of a function?

Back

A graph that shows the relationship between the input (x) and output (y) values.

Front

What is a one-to-one function?

Back

A function where each output value is associated with exactly one input value.