Domain and Range: Quadratic

Front

What are all of the x values or inputs in a function called?

Back

Domain

Front

In a quadratic graph, what does it mean if the graph has a minimum value?

Back

The graph opens upwards and the vertex is the lowest point.

Front

What is the range of a quadratic function that opens upwards with a vertex at (0, -1)?

Back

y ≥ -1

Front

What is the range of a quadratic function that opens downwards with a vertex at (0, 0)?

Back

All real numbers less than or equal to 0.

Front

What is the definition of range in the context of a function?

Back

The set of all possible output values (y values) of a function.

Front

If a quadratic function has a vertex at (2, 3) and opens downwards, what is the maximum value?

Back

3

Front

What does it mean for a quadratic function to have no real roots?

Back

The graph does not intersect the x-axis.

Front

How do you determine the domain of a quadratic function?

Back

The domain of a quadratic function is all real numbers.

Front

What is the vertex of a quadratic function in standard form y = ax^2 + bx + c?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))).

Front

What is the effect of the coefficient 'a' in the quadratic function y = ax^2?

Back

If 'a' is positive, the graph opens upwards; if 'a' is negative, it opens downwards.