1st Sem Final Exam Algebra 2 (2024)

Front

What is the RANGE of a graph?

Back

The RANGE of a graph is the set of all possible output values (y-values) that a function can produce. For example, if a graph has a range of -3 ≤ y < 1, it means y can take any value from -3 to just below 1.

Front

What defines a function in a mapping diagram?

Back

A mapping diagram is a function if each x-value is paired with exactly one y-value. If an x-value has more than one y-value, it is not a function.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on its orientation. It is called a maximum if it opens downwards and a minimum if it opens upwards.

Front

How do you find x-intercepts of a function?

Back

To find the x-intercepts of a function, set y = 0 and solve for x. The solutions are the points where the graph crosses the x-axis.

Front

What is the solution to the equation k² - 6 = 43?

Back

To solve k² - 6 = 43, first add 6 to both sides to get k² = 49. Then take the square root of both sides: k = 7 or k = -7.

Front

What is the difference between a maximum and a minimum in a graph?

Back

A maximum is the highest point on a graph, while a minimum is the lowest point. They represent the extreme values of a function.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex of a quadratic function represents the maximum or minimum value of the function and is the point where the graph changes direction.

Front

How do you determine if a relation is a function?

Back

To determine if a relation is a function, check if each input (x-value) corresponds to exactly one output (y-value). If any input has multiple outputs, it is not a function.

Front

What is the formula for finding the vertex of a parabola in standard form?

Back

For a parabola in standard form y = ax² + bx + c, the vertex can be found using the formula x = -b/(2a). Substitute this x-value back into the equation to find the y-coordinate.