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 (input values).

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 using the formula: (f(b) - f(a)) / (b - a).

Front

Solve the equation x² + x = 12.

Back

x = 3 and x = -4.

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 reflect a graph across the y-axis?

Back

To reflect a graph across the y-axis, replace x with -x in the function's equation.

Front

What does the notation |x - a| represent?

Back

The notation |x - a| represents the distance between x and a on the number line.

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 vertex of a parabola given in standard form?

Back

For a parabola in standard form y = ax² + bx + c, the vertex can be found using the formula: (h, k) where h = -b/(2a) and k = f(h).

Front

What is the difference between open and closed intervals?

Back

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

Front

What is the formula for the quadratic equation?

Back

The quadratic equation is generally written as ax² + bx + c = 0.