Algebra Unit 4 Function Review

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 does it mean for a function to be increasing?

Back

A function is increasing on an interval if, as x increases, the function's output (y-value) also increases.

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

How do you evaluate a function at a specific point?

Back

To evaluate a function f(x) at a specific point x=a, substitute a into the function and simplify.

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero, defined as f(x) = |x|.

Front

What is the minimum value of an absolute value function?

Back

The minimum value of an absolute value function occurs at the vertex of the graph, which is the point where the function changes direction.

Front

What does it mean for a function to have a domain restriction?

Back

A domain restriction means that certain input values are not allowed for the function, often due to division by zero or square roots of negative numbers.

Front

What is the vertex of a quadratic function?

Back

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

Front

How do you find the increasing intervals of a function?

Back

To find the increasing intervals of a function, identify the intervals where the derivative of the function is positive.

Front

What is the difference between open and closed intervals?

Back

An open interval (a, b) does not include the endpoints a and b, while a closed interval [a, b] includes both endpoints.