Algebra 2 Function Review

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a vertex in the context 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.

Front

What does a positive correlation in a graph indicate?

Back

A positive correlation indicates that as one variable increases, the other variable also increases.

Front

How do you find the vertex of a parabola given its equation in standard form?

Back

For a parabola in standard form y = ax^2 + bx + c, the vertex can be found using the formula (-b/(2a), f(-b/(2a))).

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.

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a quadratic function has a variable rate of change and graphs as a parabola.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input values (x) increase, the output values (y) also increase.

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

Front

How do you determine if a function is even, odd, or neither?

Back

A function is even if f(-x) = f(x), odd if f(-x) = -f(x), and neither if it does not satisfy either condition.