Functions, Domain, & Range SOL Review

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the independent variable in a function?

Back

The independent variable is the variable that represents the input of a function, often denoted as 'x'.

Front

What is the dependent variable in a function?

Back

The dependent variable is the variable that represents the output of a function, often denoted as 'y'.

Front

Define domain in the context of functions.

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

Define range in the context of functions.

Back

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

Front

Identify the independent variable in the equation y = 3x + 2.

Back

The independent variable is x.

Front

Identify the range of the function f(x) = x^2 for x in {0, 1, 2, 3}.

Back

The range is {0, 1, 4, 9}.

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 y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if each output value is associated with exactly one input value, meaning no two different inputs produce the same output.

Front

How do you find the domain of a function from its graph?

Back

The domain can be found by identifying all the x-values that the graph covers.