Semester Exam Study Guide Review 2024 Alg II

Front

What is the absolute value function?

Back

The absolute value function, denoted as f(x) = |x|, returns the non-negative value of x. It measures the distance of x from 0 on the number line.

Front

How do you solve for h in the volume formula V = πr²h?

Back

To solve for h, rearrange the formula: h = V/(πr²).

Front

What is a solution to a system of equations?

Back

A solution to a system of equations is a set of values that satisfy all equations in the system simultaneously.

Front

What does the domain of a function represent?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you graph a system of inequalities?

Back

To graph a system of inequalities, graph each inequality on the same coordinate plane and identify the region where all inequalities overlap.

Front

What is the difference between g(x) = |x| + 2 and g(x) = |x - 2|?

Back

g(x) = |x| + 2 shifts the graph of |x| up by 2 units, while g(x) = |x - 2| shifts the graph to the right by 2 units.

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax² + bx + c, where a, b, and c are constants.

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 whether it opens upwards or downwards.