Key Features Review

Front

What is an increasing interval in a function?

Back

An increasing interval is a range of x-values where the function's output (y-values) rises as x increases.

Front

How do you identify the vertex of a quadratic function?

Back

The vertex can be found using the formula x = -b/(2a) for a quadratic in the form y = ax^2 + bx + c.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the graph crosses the y-axis, indicating the value of y when x = 0.

Front

What is the difference between maximum and minimum values in a function?

Back

A maximum value is the highest point on the graph, while a minimum value is the lowest point.

Front

How can you determine if a function has a maximum or minimum value?

Back

You can determine this by analyzing the vertex of a quadratic function or the critical points of other functions.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing on an interval if the y-values decrease as the x-values increase.

Front

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

Back

The vertex represents the maximum or minimum point of the parabola, depending on its orientation.

Front

How do you find the intervals of increase and decrease for a function?

Back

You can find these intervals by calculating the derivative and determining where it is positive (increasing) or negative (decreasing).

Front

What is the role of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: two real roots, one real root, or no real roots.

Front

What is a function's domain?

Back

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