Algebra 2 Fall 2024

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. It is often expressed in interval notation.

Front

What does the notation \( (-\infty, \infty) \) represent?

Back

This notation indicates that the range of the function includes all real numbers, from negative infinity to positive infinity.

Front

What is a vertical stretch in a function?

Back

A vertical stretch occurs when a function is multiplied by a factor greater than 1, making the graph of the function taller.

Front

What is a horizontal translation in a function?

Back

A horizontal translation shifts the graph of a function left or right along the x-axis, typically represented by adding or subtracting a value from the x variable.

Front

What is end behavior in a graph?

Back

End behavior describes how the values of a function behave as the input (x) approaches positive or negative infinity.

Front

What does \( x \to -\infty, f(x) \to -\infty \) indicate?

Back

This notation indicates that as x approaches negative infinity, the function f(x) also approaches negative infinity.

Front

What is the domain of a function?

Back

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

Front

What does the notation \( [2, \infty) \) represent?

Back

This notation indicates that the domain includes all real numbers starting from 2 and extending to positive infinity, including 2.

Front

How do you determine the end behavior of a polynomial function?

Back

The end behavior of a polynomial function can be determined by the leading term's degree and its coefficient.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the direction of the graph's end behavior: if positive, the graph rises to the right; if negative, it falls to the right.