4.7 Linear Transformations and Domain & Range

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 based on its domain.

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 does it mean to translate a function up by 3 units?

Back

Translating a function up by 3 units means adding 3 to the output value of the function, shifting the entire graph upwards.

Front

What is a dilation in the context of functions?

Back

A dilation is a transformation that stretches or compresses the graph of a function vertically or horizontally.

Front

What is the parent function of linear functions?

Back

Front

Back

Front

Back

A dilation of 1/2 makes the graph less steep, effectively compressing it vertically.

Front

What is the range of the function graphed if it is defined as 2 < y ≤ 6?

Back

The range of the function is the set of y-values that satisfy the condition 2 < y ≤ 6.

Front

Back

It means that the function is defined for all real numbers.

Front

What is the significance of the y-value in the range of a function?

Back

The y-value in the range indicates the possible outputs of the function based on the given inputs from the domain.