Mid-Term A2

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 based on its domain.

Front

How do you determine the average rate of change of a function over an interval?

Back

The average rate of change of a function over an interval [a, b] is calculated as (f(b) - f(a)) / (b - a).

Front

What is vertex form of a parabola?

Back

The vertex form of a parabola is given by the equation y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

How do you solve a quadratic equation in standard form?

Back

To solve a quadratic equation in standard form ax² + bx + c = 0, you can use factoring, completing the square, or the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).

Front

What does it mean for a graph to be reflected across the y-axis?

Back

Reflecting a graph across the y-axis means that for every point (x, y) on the graph, there is a corresponding point (-x, y).

Front

What is the difference between a closed interval and an open interval?

Back

A closed interval includes its endpoints, denoted as [a, b], while an open interval does not include its endpoints, denoted as (a, b).

Front

What is the significance of the vertex in 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

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts of a quadratic function, set the function equal to zero and solve for x.

Front

What is the absolute value function?

Back

The absolute value function, denoted as |x|, returns the non-negative value of x, meaning it measures the distance of x from zero on the number line.

Front

What is the formula for the average rate of change?

Back

The formula for the average rate of change of a function f over the interval [a, b] is (f(b) - f(a)) / (b - a).