QSE #2 Review

Front

What is the y-intercept of a parabola?

Back

The y-intercept is the point where the parabola crosses the y-axis. For the parabola given in the example, the y-intercept is (0,5).

Front

What is 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 the given graph, the domain is all real numbers.

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. For the given graph, the range is y ≥ -4.

Front

How do you express domain and range in interval notation?

Back

Domain and range can be expressed in interval notation, where '(-∞, ∞)' represents all real numbers, and '[a, b]' represents all numbers from a to b, including a and b.

Front

What is the quadratic formula?

Back

Front

How do you find the roots of a quadratic equation using the quadratic formula?

Back

Substitute the coefficients a, b, and c from the equation into the quadratic formula to find the values of x.

Front

What does it mean if a quadratic equation has complex roots?

Back

Complex roots occur when the discriminant (b^2 - 4ac) is negative, indicating that the parabola does not intersect the x-axis.

Front

What is the vertex of a parabola?

Back

Front

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

Back

The discriminant (b^2 - 4ac) determines the nature of the roots: if positive, there are two real roots; if zero, one real root; if negative, two complex roots.

Front

What is interval notation?

Back

Interval notation is a way of writing subsets of the real number line. For example, (a, b) means all numbers between a and b, not including a and b.