Discriminant/Nature of the Roots/Exponential Functions

Front

What is the discriminant in a quadratic equation?

Back

Front

What does a positive discriminant indicate about the roots of a quadratic equation?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Front

What does a negative discriminant indicate about the roots of a quadratic equation?

Back

A negative discriminant indicates that the quadratic equation has no real roots, but two complex (imaginary) roots.

Front

What does a discriminant of zero indicate about the roots of a quadratic equation?

Back

A discriminant of zero indicates that the quadratic equation has exactly one real root, also known as a repeated or double root.

Front

Back

Front

What is the formula for the quadratic formula?

Back

Front

Back

The first step is to set the equation equal to zero and then apply the quadratic formula.

Front

What is the significance of the coefficients a, b, and c in a quadratic equation?

Back

Front

What is an exponential function?

Back

Front

How do you determine if an exponential function is increasing or decreasing?

Back

An exponential function is increasing if the base 'b' is greater than 1, and it is decreasing if the base 'b' is between 0 and 1.