Final Exams -Semester 1

Front

What is the discriminant in a quadratic equation and how is it used?

Back

Front

What is the axis of symmetry in a quadratic function?

Back

Front

Define the domain of a function.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. For example, the domain of a polynomial function is all real numbers.

Front

What does the average rate of change represent in a function?

Back

The average rate of change of a function between two points is the change in the function's value divided by the change in the input value. It represents how much the output changes on average for each unit change in the input.

Front

How do you determine if a quadratic equation has real solutions?

Back

Front

What is a quadratic equation?

Back

Front

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

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola. It represents the maximum or minimum value of the function.

Front

Explain the concept of real roots in a quadratic equation.

Back

Real roots are the solutions to a quadratic equation that can be plotted on the number line. They occur when the discriminant is non-negative (D >= 0).

Front

What is the formula for finding the roots of a quadratic equation?

Back

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing on an interval if the output values rise as the input values increase. It is decreasing if the output values fall as the input values increase.