Test Review Unit 5

Front

What is a solution in mathematics?

Back

A solution is a value or set of values that satisfy an equation or inequality.

Front

What is the Axis of Symmetry in a parabola?

Back

The Axis of Symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

Front

How do you find the maximum profit from a quadratic function?

Back

The maximum profit can be found at the vertex of the parabola represented by the function, using the formula x = -b/(2a).

Front

What does it mean for a function to be positive over an interval?

Back

A function is positive over an interval if its output values are greater than zero for all inputs within that interval.

Front

How do you calculate the average rate of change of a function?

Back

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

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

What is the significance of the coefficient 'a' in a quadratic function?

Back

The coefficient 'a' determines the direction of the parabola (upward if a > 0, downward if a < 0) and affects its width.

Front

What is the formula for the vertex of a quadratic function?

Back

The vertex can be found using the formula (h, k) where h = -b/(2a) and k = f(h).

Front

What does it mean for a function to have a maximum value?

Back

A function has a maximum value if there exists a point in its domain where the function's output is greater than or equal to all other output values.