Function Characteristics Practice 1

Front

What is the range of a quadratic function?

Back

The range of a quadratic function is the set of all possible output values (y-values) that the function can produce. For example, for the function y = x^2, the range is [0, ∞) because the output is always non-negative.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept. For example, for the function f(x) = 1/x, the domain is all real numbers except x = 0.

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.

Front

What are the domain and range of the function {(0,1), (1,-3), (2,-4), (-4,1)}?

Back

Domain: {-4, 0, 1, 2}; Range: {-4, -3, 1}.

Front

What do we call all the y values or outputs of a function?

Back

Range.

Front

What is the range of the graph y = 6?

Back

The range is {6} because the output is always 6.

Front

What is the range of the graph y > -6?

Back

The range is (-6, ∞) because y can take any value greater than -6.

Front

As x approaches -∞, what happens to y in the function y = x^2?

Back

As x → -∞, y → ∞ because the square of a negative number is positive.

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, where a, b, and c are constants.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of a quadratic function, depending on whether it opens upwards or downwards.