Algebra 2 Functions

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the non-negative value of its input. It is defined as f(x) = |x|, where |x| is the distance of x from 0 on the number line.

Front

What is a cube root function?

Back

A cube root function is a function that takes the cube root of its input. It is defined as f(x) = ∛x, where ∛x is the number that, when multiplied by itself three times, gives x.

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 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.

Front

What is the domain of the cubic parent function f(x) = x^3?

Back

The domain of the cubic parent function is all real numbers.

Front

What is the domain of the absolute value parent function f(x) = |x|?

Back

The domain of the absolute value parent function is all real numbers.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is a quadratic function?

Back

A quadratic function is a function that can be expressed in the form f(x) = ax^2 + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What is the shape of the graph of a quadratic function?

Back

The graph of a quadratic function is a parabola, which opens upwards if a > 0 and downwards if a < 0.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens.